57112968 has 96 divisors (see below), whose sum is σ = 159727680. Its totient is φ = 17001600.

The previous prime is 57112967. The next prime is 57112981. The reversal of 57112968 is 86921175.

It is a super-2 number, since 2×57112968² = 6523782227538048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57112963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206046 + ... + 206322.

It is an arithmetic number, because the mean of its divisors is an integer number (1663830).

Almost surely, 2^57112968 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 57112968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79863840).

57112968 is an abundant number, since it is smaller than the sum of its proper divisors (102614712).

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

57112968 is a wasteful number, since it uses less digits than its factorization.

57112968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 57112968 is about 7557.3122206245. The cubic root of 57112968 is about 385.1041894886.

The spelling of 57112968 in words is "fifty-seven million, one hundred twelve thousand, nine hundred sixty-eight".