57982680 has 288 divisors, whose sum is σ = 232081200. Its totient is φ = 12483072.

The previous prime is 57982669. The next prime is 57982693. The reversal of 57982680 is 8628975.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335074 + ... + 335246.

Almost surely, 2^57982680 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 57982680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116040600).

57982680 is an abundant number, since it is smaller than the sum of its proper divisors (174098520).

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

57982680 is a wasteful number, since it uses less digits than its factorization.

57982680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 57982680 is about 7614.6359072512. The cubic root of 57982680 is about 387.0491294317.

The spelling of 57982680 in words is "fifty-seven million, nine hundred eighty-two thousand, six hundred eighty".