57001968 has 100 divisors (see below), whose sum is σ = 166574408. Its totient is φ = 18895680.

The previous prime is 57001949. The next prime is 57002039. The reversal of 57001968 is 86910075.

It is a super-3 number, since 3×57001968³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314838 + ... + 315018.

Almost surely, 2^57001968 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 57001968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83287204).

57001968 is an abundant number, since it is smaller than the sum of its proper divisors (109572440).

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

57001968 is an frugal number, since it uses more digits than its factorization.

57001968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 57001968 is about 7549.9647681297. The cubic root of 57001968 is about 384.8545422289.

The spelling of 57001968 in words is "fifty-seven million, one thousand, nine hundred sixty-eight".