57364032 has 112 divisors (see below), whose sum is σ = 167591232. Its totient is φ = 17172480.

The previous prime is 57364031. The next prime is 57364051. The reversal of 57364032 is 23046375.

It is not an unprimeable number, because it can be changed into a prime (57364031) 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, 331498 + ... + 331670.

Almost surely, 2^57364032 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 57364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83795616).

57364032 is an abundant number, since it is smaller than the sum of its proper divisors (110227200).

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

57364032 is a wasteful number, since it uses less digits than its factorization.

57364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 57364032 is about 7573.9046732844. The cubic root of 57364032 is about 385.6676602861.

The spelling of 57364032 in words is "fifty-seven million, three hundred sixty-four thousand, thirty-two".