57508880 has 120 divisors (see below), whose sum is σ = 158620056. Its totient is φ = 19261440.

The previous prime is 57508879. The next prime is 57508883. The reversal of 57508880 is 8880575.

It is a happy number.

57508880 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 51437584 = 2464^2 + 7172^2 .

It is not an unprimeable number, because it can be changed into a prime (57508883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125612 + ... + 126068.

Almost surely, 2^57508880 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 57508880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79310028).

57508880 is an abundant number, since it is smaller than the sum of its proper divisors (101111176).

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

57508880 is a wasteful number, since it uses less digits than its factorization.

57508880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 41.

The square root of 57508880 is about 7583.4609513071. The cubic root of 57508880 is about 385.9919996194.

The spelling of 57508880 in words is "fifty-seven million, five hundred eight thousand, eight hundred eighty".