13068 has 36 divisors (see below), whose sum is σ = 37240. Its totient is φ = 3960.

The previous prime is 13063. The next prime is 13093. The reversal of 13068 is 86031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 11.

It is a zygodrome in base 2 and base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 13068.

It is not an unprimeable number, because it can be changed into a prime (13063) by changing a digit.

13068 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 11 ways as a sum of consecutive naturals, for example, 1183 + ... + 1193.

2¹³⁰⁶⁸ is an apocalyptic number.

13068 is a gapful number since it is divisible by the number (18) 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 13068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18620).

13068 is an abundant number, since it is smaller than the sum of its proper divisors (24172).

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

13068 is a wasteful number, since it uses less digits than its factorization.

13068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13068 is about 114.3153532995. The cubic root of 13068 is about 23.5542732316.

Adding to 13068 its reverse (86031), we get a palindrome (99099).

The spelling of 13068 in words is "thirteen thousand, sixty-eight".