57075960 has 128 divisors (see below), whose sum is σ = 180172800. Its totient is φ = 14446080.

The previous prime is 57075923. The next prime is 57075971. The reversal of 57075960 is 6957075.

It is a congruent number.

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, 249126 + ... + 249354.

It is an arithmetic number, because the mean of its divisors is an integer number (1407600).

Almost surely, 2^57075960 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 57075960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90086400).

57075960 is an abundant number, since it is smaller than the sum of its proper divisors (123096840).

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

57075960 is a wasteful number, since it uses less digits than its factorization.

57075960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 57075960 is about 7554.8633343033. The cubic root of 57075960 is about 385.0209917154.

The spelling of 57075960 in words is "fifty-seven million, seventy-five thousand, nine hundred sixty".