57032668 has 48 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 22214640.

The previous prime is 57032639. The next prime is 57032683. The reversal of 57032668 is 86623075.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13203 + ... + 16981.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2^57032668 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 57032668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

57032668 is an abundant number, since it is smaller than the sum of its proper divisors (69975332).

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

57032668 is a wasteful number, since it uses less digits than its factorization.

57032668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3799 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 57032668 is about 7551.9976165250. The cubic root of 57032668 is about 384.9236212121.

The spelling of 57032668 in words is "fifty-seven million, thirty-two thousand, six hundred sixty-eight".