57713760 has 144 divisors (see below), whose sum is σ = 212166864. Its totient is φ = 14201856.

The previous prime is 57713749. The next prime is 57713797. The reversal of 57713760 is 6731775.

57713760 is a `hidden beast` number, since 577 + 13 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17179 + ... + 20261.

It is an arithmetic number, because the mean of its divisors is an integer number (1473381).

Almost surely, 2^57713760 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 57713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106083432).

57713760 is an abundant number, since it is smaller than the sum of its proper divisors (154453104).

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

57713760 is a wasteful number, since it uses less digits than its factorization.

57713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 57713760 is about 7596.9572856506. The cubic root of 57713760 is about 386.4498321853.

The spelling of 57713760 in words is "fifty-seven million, seven hundred thirteen thousand, seven hundred sixty".