65340 has 72 divisors (see below), whose sum is σ = 223440. Its totient is φ = 15840.

The previous prime is 65327. The next prime is 65353. The reversal of 65340 is 4356.

Added to its reverse (4356) it gives a square (69696 = 264²).

65340 = T₃₁ + T₃₂ + ... + T₇₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65327) and next prime (65353).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

65340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5935 + ... + 5945.

2⁶⁵³⁴⁰ is an apocalyptic number.

65340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111720).

65340 is an abundant number, since it is smaller than the sum of its proper divisors (158100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65340 is a wasteful number, since it uses less digits than its factorization.

65340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 65340 is about 255.6169008497. The cubic root of 65340 is about 40.2772406675.

Subtracting from 65340 its product of nonzero digits (360), we obtain a triangular number (64980 = T₃₆₀).

Adding to 65340 its reverse (4356), we get a palindrome (69696).

65340 divided by its reverse (4356) gives a triangular number (15 = T₅).

The spelling of 65340 in words is "sixty-five thousand, three hundred forty".