57536256 has 72 divisors (see below), whose sum is σ = 161230720. Its totient is φ = 18164736.

The previous prime is 57536249. The next prime is 57536257. The reversal of 57536256 is 65263575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57536257) 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, 12621 + ... + 16563.

Almost surely, 2^57536256 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 57536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80615360).

57536256 is an abundant number, since it is smaller than the sum of its proper divisors (103694464).

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

57536256 is a wasteful number, since it uses less digits than its factorization.

57536256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3967 counting only the distinct ones).

The product of its digits is 189000, while the sum is 39.

The square root of 57536256 is about 7585.2657171651. The cubic root of 57536256 is about 386.0532379343.

The spelling of 57536256 in words is "fifty-seven million, five hundred thirty-six thousand, two hundred fifty-six".