57117960 has 240 divisors, whose sum is σ = 207280260. Its totient is φ = 14100480.

The previous prime is 57117937. The next prime is 57118001. The reversal of 57117960 is 6971175.

It can be written as a sum of positive squares in 6 ways, for example, as 24147396 + 32970564 = 4914^2 + 5742^2 .

It is a super-2 number, since 2×57117960² = 6524922709123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 936330 + ... + 936390.

Almost surely, 2^57117960 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 57117960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103640130).

57117960 is an abundant number, since it is smaller than the sum of its proper divisors (150162300).

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

57117960 is a wasteful number, since it uses less digits than its factorization.

57117960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 57117960 is about 7557.6424895598. The cubic root of 57117960 is about 385.1154092645.

The spelling of 57117960 in words is "fifty-seven million, one hundred seventeen thousand, nine hundred sixty".