57543864 has 64 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 16383360.

The previous prime is 57543809. The next prime is 57543877. The reversal of 57543864 is 46834575.

57543864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57543864² = 6622592568100992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 77077 + ... + 77819.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^57543864 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 57543864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

57543864 is an abundant number, since it is smaller than the sum of its proper divisors (107445576).

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

57543864 is a wasteful number, since it uses less digits than its factorization.

57543864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1216 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 57543864 is about 7585.7671991698. The cubic root of 57543864 is about 386.0702530814.

The spelling of 57543864 in words is "fifty-seven million, five hundred forty-three thousand, eight hundred sixty-four".