57534264 has 96 divisors (see below), whose sum is σ = 162864000. Its totient is φ = 18328320.

The previous prime is 57534259. The next prime is 57534311. The reversal of 57534264 is 46243575.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332482 + ... + 332654.

It is an arithmetic number, because the mean of its divisors is an integer number (1696500).

Almost surely, 2^57534264 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 57534264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81432000).

57534264 is an abundant number, since it is smaller than the sum of its proper divisors (105329736).

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

57534264 is a wasteful number, since it uses less digits than its factorization.

57534264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 57534264 is about 7585.1344088289. The cubic root of 57534264 is about 386.0487826164.

The spelling of 57534264 in words is "fifty-seven million, five hundred thirty-four thousand, two hundred sixty-four".