57705660 has 144 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 14228352.

The previous prime is 57705617. The next prime is 57705671. The reversal of 57705660 is 6650775.

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 47 ways as a sum of consecutive naturals, for example, 160561 + ... + 160919.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^57705660 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 57705660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

57705660 is an abundant number, since it is smaller than the sum of its proper divisors (130991940).

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

57705660 is a wasteful number, since it uses less digits than its factorization.

57705660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 57705660 is about 7596.4241587737. The cubic root of 57705660 is about 386.4317522098.

The spelling of 57705660 in words is "fifty-seven million, seven hundred five thousand, six hundred sixty".