57279120 has 160 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 14131200.

The previous prime is 57279109. The next prime is 57279143. The reversal of 57279120 is 2197275.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412011 + ... + 412149.

It is an arithmetic number, because the mean of its divisors is an integer number (1195236).

Almost surely, 2^57279120 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 57279120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

57279120 is an abundant number, since it is smaller than the sum of its proper divisors (133958640).

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

57279120 is a wasteful number, since it uses less digits than its factorization.

57279120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 57279120 is about 7568.2970343400. The cubic root of 57279120 is about 385.4772739492.

The spelling of 57279120 in words is "fifty-seven million, two hundred seventy-nine thousand, one hundred twenty".