57936816 has 320 divisors, whose sum is σ = 214272000. Its totient is φ = 14902272.

The previous prime is 57936803. The next prime is 57936821. The reversal of 57936816 is 61863975.

It is a happy number.

57936816 is a `hidden beast` number, since 579 + 3 + 68 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2518981 + ... + 2519003.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 2^57936816 is an apocalyptic number.

57936816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57936816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

57936816 is an abundant number, since it is smaller than the sum of its proper divisors (156335184).

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

57936816 is a wasteful number, since it uses less digits than its factorization.

57936816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 57936816 is about 7611.6237426715. The cubic root of 57936816 is about 386.9470512260.

The spelling of 57936816 in words is "fifty-seven million, nine hundred thirty-six thousand, eight hundred sixteen".