57264 has 20 divisors (see below), whose sum is σ = 148056. Its totient is φ = 19072.

The previous prime is 57259. The next prime is 57269. The reversal of 57264 is 46275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57259) and next prime (57269).

It is a super-3 number, since 3×57264³ = 563334433247232, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (57269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 549 + ... + 644.

2⁵⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

57264 is an abundant number, since it is smaller than the sum of its proper divisors (90792).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74028).

57264 is a wasteful number, since it uses less digits than its factorization.

57264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1198 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 57264 is about 239.2989761783. The cubic root of 57264 is about 38.5443352750.

It can be divided in two parts, 572 and 64, that added together give a palindrome (636).

The spelling of 57264 in words is "fifty-seven thousand, two hundred sixty-four".