57485760 has 112 divisors (see below), whose sum is σ = 184013856. Its totient is φ = 15204352.

The previous prime is 57485759. The next prime is 57485767. The reversal of 57485760 is 6758475.

It is a super-2 number, since 2×57485760² = 6609225205555200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57485767) 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, 223552 + ... + 223808.

Almost surely, 2^57485760 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 57485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92006928).

57485760 is an abundant number, since it is smaller than the sum of its proper divisors (126528096).

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

57485760 is a wasteful number, since it uses less digits than its factorization.

57485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 57485760 is about 7581.9364281165. The cubic root of 57485760 is about 385.9402665583.

The spelling of 57485760 in words is "fifty-seven million, four hundred eighty-five thousand, seven hundred sixty".