57008160 has 288 divisors, whose sum is σ = 219360960. Its totient is φ = 13363200.

The previous prime is 57008129. The next prime is 57008173. The reversal of 57008160 is 6180075.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934530 + ... + 934590.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^57008160 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 57008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

57008160 is an abundant number, since it is smaller than the sum of its proper divisors (162352800).

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

57008160 is a wasteful number, since it uses less digits than its factorization.

57008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 57008160 is about 7550.3748251329. The cubic root of 57008160 is about 384.8684770287.

The spelling of 57008160 in words is "fifty-seven million, eight thousand, one hundred sixty".