57541160 has 64 divisors (see below), whose sum is σ = 133816320. Its totient is φ = 22256640.

The previous prime is 57541157. The next prime is 57541171. The reversal of 57541160 is 6114575.

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, 238640 + ... + 238880.

It is an arithmetic number, because the mean of its divisors is an integer number (2090880).

Almost surely, 2^57541160 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 57541160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66908160).

57541160 is an abundant number, since it is smaller than the sum of its proper divisors (76275160).

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

57541160 is a wasteful number, since it uses less digits than its factorization.

57541160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 57541160 is about 7585.5889685640. The cubic root of 57541160 is about 386.0642058087.

The spelling of 57541160 in words is "fifty-seven million, five hundred forty-one thousand, one hundred sixty".