57120360 has 128 divisors (see below), whose sum is σ = 189129600. Its totient is φ = 13685760.

The previous prime is 57120359. The next prime is 57120361. The reversal of 57120360 is 6302175.

It is an interprime number because it is at equal distance from previous prime (57120359) and next prime (57120361).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 57120360.

It is not an unprimeable number, because it can be changed into a prime (57120361) 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, 143682 + ... + 144078.

It is an arithmetic number, because the mean of its divisors is an integer number (1477575).

Almost surely, 2^57120360 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 57120360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94564800).

57120360 is an abundant number, since it is smaller than the sum of its proper divisors (132009240).

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

57120360 is a wasteful number, since it uses less digits than its factorization.

57120360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 57120360 is about 7557.8012675645. The cubic root of 57120360 is about 385.1208031548.

The spelling of 57120360 in words is "fifty-seven million, one hundred twenty thousand, three hundred sixty".