57668352 has 144 divisors (see below), whose sum is σ = 186020352. Its totient is φ = 15482880.

The previous prime is 57668333. The next prime is 57668371. The reversal of 57668352 is 25386675.

It is an interprime number because it is at equal distance from previous prime (57668333) and next prime (57668371).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91077 + ... + 91707.

It is an arithmetic number, because the mean of its divisors is an integer number (1291808).

Almost surely, 2^57668352 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 57668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93010176).

57668352 is an abundant number, since it is smaller than the sum of its proper divisors (128352000).

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

57668352 is a wasteful number, since it uses less digits than its factorization.

57668352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 57668352 is about 7593.9681326695. The cubic root of 57668352 is about 386.3484553322.

The spelling of 57668352 in words is "fifty-seven million, six hundred sixty-eight thousand, three hundred fifty-two".