57668832 has 144 divisors (see below), whose sum is σ = 179878608. Its totient is φ = 17418240.

The previous prime is 57668803. The next prime is 57668867. The reversal of 57668832 is 23886675.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273207 + ... + 273417.

It is an arithmetic number, because the mean of its divisors is an integer number (1249157).

Almost surely, 2^57668832 is an apocalyptic number.

57668832 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 57668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89939304).

57668832 is an abundant number, since it is smaller than the sum of its proper divisors (122209776).

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

57668832 is a wasteful number, since it uses less digits than its factorization.

57668832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 57668832 is about 7593.9997366342. Note that the first 3 decimals coincide. The cubic root of 57668832 is about 386.3495272474.

The spelling of 57668832 in words is "fifty-seven million, six hundred sixty-eight thousand, eight hundred thirty-two".