57053760 has 112 divisors (see below), whose sum is σ = 183221376. Its totient is φ = 15040512.

The previous prime is 57053729. The next prime is 57053803. The reversal of 57053760 is 6735075.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 98592 + ... + 99168.

Almost surely, 2^57053760 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 57053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91610688).

57053760 is an abundant number, since it is smaller than the sum of its proper divisors (126167616).

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

57053760 is a wasteful number, since it uses less digits than its factorization.

57053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 57053760 is about 7553.3939391508. The cubic root of 57053760 is about 384.9710665837.

The spelling of 57053760 in words is "fifty-seven million, fifty-three thousand, seven hundred sixty".