57870960 has 320 divisors, whose sum is σ = 226176000. Its totient is φ = 12192768.

The previous prime is 57870931. The next prime is 57870961. The reversal of 57870960 is 6907875.

It is a super-2 number, since 2×57870960² = 6698096022643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57870961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1564062 + ... + 1564098.

It is an arithmetic number, because the mean of its divisors is an integer number (706800).

Almost surely, 2^57870960 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 57870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088000).

57870960 is an abundant number, since it is smaller than the sum of its proper divisors (168305040).

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

57870960 is a wasteful number, since it uses less digits than its factorization.

57870960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 57870960 is about 7607.2964974424. The cubic root of 57870960 is about 386.8003831361.

The spelling of 57870960 in words is "fifty-seven million, eight hundred seventy thousand, nine hundred sixty".