57874320 has 120 divisors (see below), whose sum is σ = 222146496. Its totient is φ = 13227264.

The previous prime is 57874319. The next prime is 57874363. The reversal of 57874320 is 2347875.

57874320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702 + ... + 10781.

Almost surely, 2^57874320 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 57874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111073248).

57874320 is an abundant number, since it is smaller than the sum of its proper divisors (164272176).

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

57874320 is a wasteful number, since it uses less digits than its factorization.

57874320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57874320 is about 7607.5173348472. The cubic root of 57874320 is about 386.8078688948.

The spelling of 57874320 in words is "fifty-seven million, eight hundred seventy-four thousand, three hundred twenty".