57936768 has 96 divisors (see below), whose sum is σ = 160031880. Its totient is φ = 18570240.

The previous prime is 57936743. The next prime is 57936773. The reversal of 57936768 is 86763975.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 57936768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368946 + ... + 369102.

Almost surely, 2^57936768 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 57936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015940).

57936768 is an abundant number, since it is smaller than the sum of its proper divisors (102095112).

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

57936768 is a wasteful number, since it uses less digits than its factorization.

57936768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 193 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 57936768 is about 7611.6205895985. The cubic root of 57936768 is about 386.9469443655.

It can be divided in two parts, 5793 and 6768, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 57936768 in words is "fifty-seven million, nine hundred thirty-six thousand, seven hundred sixty-eight".