57957768 has 160 divisors (see below), whose sum is σ = 181906560. Its totient is φ = 17089920.

The previous prime is 57957763. The next prime is 57957773. The reversal of 57957768 is 86775975.

57957768 is a `hidden beast` number, since 5 + 7 + 9 + 577 + 68 = 666.

57957768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 7613²-1.

It is an interprime number because it is at equal distance from previous prime (57957763) and next prime (57957773).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57957761) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 334930 + ... + 335102.

It is an arithmetic number, because the mean of its divisors is an integer number (1136916).

Almost surely, 2^57957768 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 57957768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90953280).

57957768 is an abundant number, since it is smaller than the sum of its proper divisors (123948792).

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

57957768 is a wasteful number, since it uses less digits than its factorization.

57957768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

The square root of 57957768 is about 7612.9999343229. Note that the first 4 decimals coincide. The cubic root of 57957768 is about 386.9936901802.

The spelling of 57957768 in words is "fifty-seven million, nine hundred fifty-seven thousand, seven hundred sixty-eight".