57682008 has 48 divisors (see below), whose sum is σ = 158215200. Its totient is φ = 18982080.

The previous prime is 57682007. The next prime is 57682013. The reversal of 57682008 is 80028675.

57682008 is a `hidden beast` number, since 576 + 82 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57682007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618 + ... + 10758.

It is an arithmetic number, because the mean of its divisors is an integer number (3296150).

Almost surely, 2^57682008 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 57682008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79107600).

57682008 is an abundant number, since it is smaller than the sum of its proper divisors (100533192).

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

57682008 is a wasteful number, since it uses less digits than its factorization.

57682008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10232 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 57682008 is about 7594.8672141124. The cubic root of 57682008 is about 386.3789489966.

It can be divided in two parts, 5768 and 2008, that added together give a 5-th power (7776 = 6⁵).

The spelling of 57682008 in words is "fifty-seven million, six hundred eighty-two thousand, eight".