57681536 has 64 divisors (see below), whose sum is σ = 127344960. Its totient is φ = 25804800.

The previous prime is 57681529. The next prime is 57681541. The reversal of 57681536 is 63518675.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 57681493 and 57681502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99680 + ... + 100256.

It is an arithmetic number, because the mean of its divisors is an integer number (1989765).

Almost surely, 2^57681536 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 57681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63672480).

57681536 is an abundant number, since it is smaller than the sum of its proper divisors (69663424).

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

57681536 is a wasteful number, since it uses less digits than its factorization.

57681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 661 counting only the distinct ones).

The product of its digits is 151200, while the sum is 41.

The square root of 57681536 is about 7594.8361404312. The cubic root of 57681536 is about 386.3778951072.

The spelling of 57681536 in words is "fifty-seven million, six hundred eighty-one thousand, five hundred thirty-six".