57945888 has 384 divisors, whose sum is σ = 230307840. Its totient is φ = 13685760.

The previous prime is 57945871. The next prime is 57945889. The reversal of 57945888 is 88854975.

57945888 is a `hidden beast` number, since 57 + 9 + 4 + 588 + 8 = 666.

It is a super-2 number, since 2×57945888² = 6715451872217088, which contains 22 as substring.

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 (57945889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864831 + ... + 864897.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 2^57945888 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 57945888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

57945888 is an abundant number, since it is smaller than the sum of its proper divisors (172361952).

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

57945888 is a wasteful number, since it uses less digits than its factorization.

57945888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The square root of 57945888 is about 7612.2196500101. The cubic root of 57945888 is about 386.9672467924.

The spelling of 57945888 in words is "fifty-seven million, nine hundred forty-five thousand, eight hundred eighty-eight".