57964032 has 160 divisors (see below), whose sum is σ = 196416000. Its totient is φ = 16533504.

The previous prime is 57964031. The next prime is 57964051. The reversal of 57964032 is 23046975.

57964032 is a `hidden beast` number, since 5 + 7 + 9 + 640 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57964031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96469 + ... + 97067.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 2^57964032 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 57964032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

57964032 is an abundant number, since it is smaller than the sum of its proper divisors (138451968).

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

57964032 is an equidigital number, since it uses as much as digits as its factorization.

57964032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57964032 is about 7613.4113247611. The cubic root of 57964032 is about 387.0076316024.

The spelling of 57964032 in words is "fifty-seven million, nine hundred sixty-four thousand, thirty-two".