57707640 has 112 divisors (see below), whose sum is σ = 194772600. Its totient is φ = 15380928.

The previous prime is 57707633. The next prime is 57707641. The reversal of 57707640 is 4670775.

57707640 is a `hidden beast` number, since 5 + 7 + 7 + 0 + 7 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 57707595 and 57707604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57707641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28171 + ... + 30149.

Almost surely, 2^57707640 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 57707640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97386300).

57707640 is an abundant number, since it is smaller than the sum of its proper divisors (137064960).

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

57707640 is a wasteful number, since it uses less digits than its factorization.

57707640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 57707640 is about 7596.5544821320. The cubic root of 57707640 is about 386.4361719156.

The spelling of 57707640 in words is "fifty-seven million, seven hundred seven thousand, six hundred forty".