57130080 has 192 divisors, whose sum is σ = 210470400. Its totient is φ = 13020672.

The previous prime is 57130009. The next prime is 57130103. The reversal of 57130080 is 8003175.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57130080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164467 + ... + 164813.

It is an arithmetic number, because the mean of its divisors is an integer number (1096200).

Almost surely, 2^57130080 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 57130080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105235200).

57130080 is an abundant number, since it is smaller than the sum of its proper divisors (153340320).

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

57130080 is a wasteful number, since it uses less digits than its factorization.

57130080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 57130080 is about 7558.4442843749. Note that the first 3 decimals coincide. The cubic root of 57130080 is about 385.1426468657.

The spelling of 57130080 in words is "fifty-seven million, one hundred thirty thousand, eighty".