57163680 has 288 divisors, whose sum is σ = 229267584. Its totient is φ = 12699648.

The previous prime is 57163679. The next prime is 57163681. The reversal of 57163680 is 8636175.

57163680 is a `hidden beast` number, since 571 + 6 + 3 + 6 + 80 = 666.

57163680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57163679) and next prime (57163681).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×57163680² = 6535372622284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57163681) 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 47 ways as a sum of consecutive naturals, for example, 534187 + ... + 534293.

It is an arithmetic number, because the mean of its divisors is an integer number (796068).

Almost surely, 2^57163680 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 57163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114633792).

57163680 is an abundant number, since it is smaller than the sum of its proper divisors (172103904).

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

57163680 is a wasteful number, since it uses less digits than its factorization.

57163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57163680 is about 7560.6666372748. Note that the first 4 decimals coincide. The cubic root of 57163680 is about 385.2181369100.

The spelling of 57163680 in words is "fifty-seven million, one hundred sixty-three thousand, six hundred eighty".