57682656 has 72 divisors (see below), whose sum is σ = 167174280. Its totient is φ = 18859776.

The previous prime is 57682633. The next prime is 57682673. The reversal of 57682656 is 65628675.

57682656 is a `hidden beast` number, since 576 + 8 + 26 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13375 + ... + 17153.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2^57682656 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 57682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83587140).

57682656 is an abundant number, since it is smaller than the sum of its proper divisors (109491624).

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

57682656 is a wasteful number, since it uses less digits than its factorization.

57682656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3837 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 57682656 is about 7594.9098743830. The cubic root of 57682656 is about 386.3803958522.

The spelling of 57682656 in words is "fifty-seven million, six hundred eighty-two thousand, six hundred fifty-six".