57385536 has 112 divisors (see below), whose sum is σ = 166079424. Its totient is φ = 17381376.

The previous prime is 57385513. The next prime is 57385553. The reversal of 57385536 is 63558375.

Its product of digits (378000) is a multiple of the sum of its prime divisors (378).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207030 + ... + 207306.

It is an arithmetic number, because the mean of its divisors is an integer number (1482852).

Almost surely, 2^57385536 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 57385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83039712).

57385536 is an abundant number, since it is smaller than the sum of its proper divisors (108693888).

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

57385536 is a wasteful number, since it uses less digits than its factorization.

57385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 378000, while the sum is 42.

The square root of 57385536 is about 7575.3241514803. The cubic root of 57385536 is about 385.7158458883.

The spelling of 57385536 in words is "fifty-seven million, three hundred eighty-five thousand, five hundred thirty-six".