57938580 has 108 divisors (see below), whose sum is σ = 204471540. Its totient is φ = 13241088.

The previous prime is 57938579. The next prime is 57938591. The reversal of 57938580 is 8583975.

It can be written as a sum of positive squares in 2 ways, for example, as 38118276 + 19820304 = 6174^2 + 4452^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5536 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (1893255).

Almost surely, 2^57938580 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 57938580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102235770).

57938580 is an abundant number, since it is smaller than the sum of its proper divisors (146532960).

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

57938580 is a wasteful number, since it uses less digits than its factorization.

57938580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 57938580 is about 7611.7396171966. The cubic root of 57938580 is about 386.9509783068.

The spelling of 57938580 in words is "fifty-seven million, nine hundred thirty-eight thousand, five hundred eighty".