57982080 has 256 divisors, whose sum is σ = 209744640. Its totient is φ = 13516800.

The previous prime is 57982069. The next prime is 57982081. The reversal of 57982080 is 8028975.

It is a super-2 number, since 2×57982080² = 6723843202252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57982081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574030 + ... + 574130.

It is an arithmetic number, because the mean of its divisors is an integer number (819315).

Almost surely, 2^57982080 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 57982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104872320).

57982080 is an abundant number, since it is smaller than the sum of its proper divisors (151762560).

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

57982080 is a wasteful number, since it uses less digits than its factorization.

57982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 57982080 is about 7614.5965093365. The cubic root of 57982080 is about 387.0477943763.

The spelling of 57982080 in words is "fifty-seven million, nine hundred eighty-two thousand, eighty".