57130160 has 80 divisors (see below), whose sum is σ = 141151680. Its totient is φ = 21457920.

The previous prime is 57130153. The next prime is 57130181. The reversal of 57130160 is 6103175.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 111986 + ... + 112494.

It is an arithmetic number, because the mean of its divisors is an integer number (1764396).

Almost surely, 2^57130160 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 57130160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70575840).

57130160 is an abundant number, since it is smaller than the sum of its proper divisors (84021520).

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

57130160 is a wasteful number, since it uses less digits than its factorization.

57130160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 57130160 is about 7558.4495764674. The cubic root of 57130160 is about 385.1428266391.

The spelling of 57130160 in words is "fifty-seven million, one hundred thirty thousand, one hundred sixty".