57768736 has 24 divisors (see below), whose sum is σ = 114065280. Its totient is φ = 28799808.

The previous prime is 57768727. The next prime is 57768749. The reversal of 57768736 is 63786775.

57768736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57768736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9285 + ... + 14203.

It is an arithmetic number, because the mean of its divisors is an integer number (4752720).

Almost surely, 2^57768736 is an apocalyptic number.

It is an amenable number.

57768736 is a deficient number, since it is larger than the sum of its proper divisors (56296544).

57768736 is a wasteful number, since it uses less digits than its factorization.

57768736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5288 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 49.

The square root of 57768736 is about 7600.5747151120. The cubic root of 57768736 is about 386.5724991984.

The spelling of 57768736 in words is "fifty-seven million, seven hundred sixty-eight thousand, seven hundred thirty-six".