57680532 has 96 divisors (see below), whose sum is σ = 184083200. Its totient is φ = 15209856.

The previous prime is 57680489. The next prime is 57680533. The reversal of 57680532 is 23508675.

57680532 is a `hidden beast` number, since 576 + 80 + 5 + 3 + 2 = 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 (57680533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6894 + ... + 12762.

Almost surely, 2^57680532 is an apocalyptic number.

57680532 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57680532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92041600).

57680532 is an abundant number, since it is smaller than the sum of its proper divisors (126402668).

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

57680532 is a wasteful number, since it uses less digits than its factorization.

57680532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 57680532 is about 7594.7700426017. The cubic root of 57680532 is about 386.3756533404.

The spelling of 57680532 in words is "fifty-seven million, six hundred eighty thousand, five hundred thirty-two".