57626768 has 40 divisors (see below), whose sum is σ = 115992576. Its totient is φ = 27705600.

The previous prime is 57626729. The next prime is 57626773. The reversal of 57626768 is 86762675.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110348 + ... + 110868.

Almost surely, 2^57626768 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 57626768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57996288).

57626768 is an abundant number, since it is smaller than the sum of its proper divisors (58365808).

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

57626768 is a wasteful number, since it uses less digits than its factorization.

57626768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its digits is 846720, while the sum is 47.

The square root of 57626768 is about 7591.2296764095. The cubic root of 57626768 is about 386.2555691604.

The spelling of 57626768 in words is "fifty-seven million, six hundred twenty-six thousand, seven hundred sixty-eight".