57118560 has 96 divisors (see below), whose sum is σ = 189423360. Its totient is φ = 14427648.

The previous prime is 57118553. The next prime is 57118561. The reversal of 57118560 is 6581175.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×57118560³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57118561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5989 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (1973160).

Almost surely, 2^57118560 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 57118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94711680).

57118560 is an abundant number, since it is smaller than the sum of its proper divisors (132304800).

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

57118560 is a wasteful number, since it uses less digits than its factorization.

57118560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 57118560 is about 7557.6821843737. The cubic root of 57118560 is about 385.1167577512.

The spelling of 57118560 in words is "fifty-seven million, one hundred eighteen thousand, five hundred sixty".