57656032 has 144 divisors (see below), whose sum is σ = 147474432. Its totient is φ = 21669120.

The previous prime is 57656029. The next prime is 57656059. The reversal of 57656032 is 23065675.

57656032 = T₂₈₃ + T₂₈₄ + ... + T₇₁₆.

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, 1859857 + ... + 1859887.

It is an arithmetic number, because the mean of its divisors is an integer number (1024128).

Almost surely, 2^57656032 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 57656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

57656032 is an abundant number, since it is smaller than the sum of its proper divisors (89818400).

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

57656032 is a wasteful number, since it uses less digits than its factorization.

57656032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

The square root of 57656032 is about 7593.1569192267. The cubic root of 57656032 is about 386.3209408071.

The spelling of 57656032 in words is "fifty-seven million, six hundred fifty-six thousand, thirty-two".