57688320 has 144 divisors (see below), whose sum is σ = 187492032. Its totient is φ = 15114240.

The previous prime is 57688283. The next prime is 57688321. The reversal of 57688320 is 2388675.

It is not an unprimeable number, because it can be changed into a prime (57688321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318630 + ... + 318810.

It is an arithmetic number, because the mean of its divisors is an integer number (1302028).

Almost surely, 2^57688320 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 57688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93746016).

57688320 is an abundant number, since it is smaller than the sum of its proper divisors (129803712).

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

57688320 is a wasteful number, since it uses less digits than its factorization.

57688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 57688320 is about 7595.2827465474. The cubic root of 57688320 is about 386.3930419813.

The spelling of 57688320 in words is "fifty-seven million, six hundred eighty-eight thousand, three hundred twenty".