57051864 has 80 divisors (see below), whose sum is σ = 169230600. Its totient is φ = 17895168.

The previous prime is 57051859. The next prime is 57051871. The reversal of 57051864 is 46815075.

57051864 is a `hidden beast` number, since 570 + 5 + 1 + 86 + 4 = 666.

57051864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 19 ways as a sum of consecutive naturals, for example, 8427 + ... + 13605.

Almost surely, 2^57051864 is an apocalyptic number.

57051864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57051864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84615300).

57051864 is an abundant number, since it is smaller than the sum of its proper divisors (112178736).

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

57051864 is a wasteful number, since it uses less digits than its factorization.

57051864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 57051864 is about 7553.2684316129. The cubic root of 57051864 is about 384.9668021074.

It can be divided in two parts, 5705 and 1864, that added together give a square (7569 = 87²).

The spelling of 57051864 in words is "fifty-seven million, fifty-one thousand, eight hundred sixty-four".