57764256 has 96 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 16577280.

The previous prime is 57764233. The next prime is 57764257. The reversal of 57764256 is 65246775.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (57764257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18625 + ... + 21503.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^57764256 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 57764256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

57764256 is an abundant number, since it is smaller than the sum of its proper divisors (116418144).

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

57764256 is a wasteful number, since it uses less digits than its factorization.

57764256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2914 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 57764256 is about 7600.2799948423. The cubic root of 57764256 is about 386.5625059639.

The spelling of 57764256 in words is "fifty-seven million, seven hundred sixty-four thousand, two hundred fifty-six".