6324 has 24 divisors (see below), whose sum is σ = 16128. Its totient is φ = 1920.

The previous prime is 6323. The next prime is 6329. The reversal of 6324 is 4236.

6324 = T₁₇ + T₁₈ + ... + T₃₄.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189 + ... + 219.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

2⁶³²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064).

6324 is an abundant number, since it is smaller than the sum of its proper divisors (9804).

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

6324 is a wasteful number, since it uses less digits than its factorization.

6324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 6324 is about 79.5235814083. The cubic root of 6324 is about 18.4925706716.

It can be divided in two parts, 632 and 4, that added together give a palindrome (636).

The spelling of 6324 in words is "six thousand, three hundred twenty-four".