57676160 has 64 divisors (see below), whose sum is σ = 138838320. Its totient is φ = 22910976.

The previous prime is 57676159. The next prime is 57676207. The reversal of 57676160 is 6167675.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145082 + ... + 145478.

Almost surely, 2^57676160 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 57676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69419160).

57676160 is an abundant number, since it is smaller than the sum of its proper divisors (81162160).

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

57676160 is a wasteful number, since it uses less digits than its factorization.

57676160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 57676160 is about 7594.4822074978. The cubic root of 57676160 is about 386.3658910805.

The spelling of 57676160 in words is "fifty-seven million, six hundred seventy-six thousand, one hundred sixty".