57057768 has 48 divisors (see below), whose sum is σ = 155921220. Its totient is φ = 18848256.

The previous prime is 57057757. The next prime is 57057787. The reversal of 57057768 is 86775075.

57057768 is a `hidden beast` number, since 5 + 70 + 577 + 6 + 8 = 666.

57057768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55980324 + 1077444 = 7482^2 + 1038^2 .

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 11 ways as a sum of consecutive naturals, for example, 4630 + ... + 11642.

Almost surely, 2^57057768 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 57057768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77960610).

57057768 is an abundant number, since it is smaller than the sum of its proper divisors (98863452).

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

57057768 is a wasteful number, since it uses less digits than its factorization.

57057768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The square root of 57057768 is about 7553.6592456901. The cubic root of 57057768 is about 384.9800810519.

The spelling of 57057768 in words is "fifty-seven million, fifty-seven thousand, seven hundred sixty-eight".