57979220 has 48 divisors (see below), whose sum is σ = 131982480. Its totient is φ = 21267456.

The previous prime is 57979211. The next prime is 57979223. The reversal of 57979220 is 2297975.

It is a happy number.

57979220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1157776 + 56821444 = 1076^2 + 7538^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57979223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44336 + ... + 45624.

It is an arithmetic number, because the mean of its divisors is an integer number (2749635).

Almost surely, 2^57979220 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 57979220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65991240).

57979220 is an abundant number, since it is smaller than the sum of its proper divisors (74003260).

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

57979220 is a wasteful number, since it uses less digits than its factorization.

57979220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 57979220 is about 7614.4087098080. The cubic root of 57979220 is about 387.0414304854.

The spelling of 57979220 in words is "fifty-seven million, nine hundred seventy-nine thousand, two hundred twenty".