57130880 has 128 divisors (see below), whose sum is σ = 148716000. Its totient is φ = 20905984.

The previous prime is 57130859. The next prime is 57130883. The reversal of 57130880 is 8803175.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57130883) 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, 641876 + ... + 641964.

Almost surely, 2^57130880 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 57130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74358000).

57130880 is an abundant number, since it is smaller than the sum of its proper divisors (91585120).

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

57130880 is a wasteful number, since it uses less digits than its factorization.

57130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 57130880 is about 7558.4972051328. The cubic root of 57130880 is about 385.1444445916.

The spelling of 57130880 in words is "fifty-seven million, one hundred thirty thousand, eight hundred eighty".