57081168 has 120 divisors (see below), whose sum is σ = 173838080. Its totient is φ = 17418240.

The previous prime is 57081139. The next prime is 57081173. The reversal of 57081168 is 86118075.

57081168 is a `hidden beast` number, since 570 + 81 + 1 + 6 + 8 = 666.

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

It is a nialpdrome in base 13.

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, 84480 + ... + 85152.

Almost surely, 2^57081168 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 57081168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86919040).

57081168 is an abundant number, since it is smaller than the sum of its proper divisors (116756912).

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

57081168 is a wasteful number, since it uses less digits than its factorization.

57081168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 57081168 is about 7555.2080050784. The cubic root of 57081168 is about 385.0327020066.

The spelling of 57081168 in words is "fifty-seven million, eighty-one thousand, one hundred sixty-eight".