57660816 has 80 divisors (see below), whose sum is σ = 160882560. Its totient is φ = 17740800.

The previous prime is 57660809. The next prime is 57660833. The reversal of 57660816 is 61806675.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31116 + ... + 32916.

It is an arithmetic number, because the mean of its divisors is an integer number (2011032).

Almost surely, 2^57660816 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 57660816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80441280).

57660816 is an abundant number, since it is smaller than the sum of its proper divisors (103221744).

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

57660816 is a wasteful number, since it uses less digits than its factorization.

57660816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 57660816 is about 7593.4719331805. The cubic root of 57660816 is about 386.3316254842.

The spelling of 57660816 in words is "fifty-seven million, six hundred sixty thousand, eight hundred sixteen".