57916160 has 36 divisors (see below), whose sum is σ = 138730368. Its totient is φ = 23165952.

The previous prime is 57916129. The next prime is 57916171. The reversal of 57916160 is 6161975.

57916160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 57916160.

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 3 ways as a sum of consecutive naturals, for example, 21344 + ... + 23903.

Almost surely, 2^57916160 is an apocalyptic number.

It is an amenable number.

57916160 is an abundant number, since it is smaller than the sum of its proper divisors (80814208).

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

57916160 is an equidigital number, since it uses as much as digits as its factorization.

57916160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45268 (or 45254 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 57916160 is about 7610.2667495956. The cubic root of 57916160 is about 386.9010601567.

The spelling of 57916160 in words is "fifty-seven million, nine hundred sixteen thousand, one hundred sixty".