57806112 has 144 divisors (see below), whose sum is σ = 188153280. Its totient is φ = 15215616.

The previous prime is 57806087. The next prime is 57806131. The reversal of 57806112 is 21160875.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57806112.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113314 + ... + 113822.

It is an arithmetic number, because the mean of its divisors is an integer number (1306620).

Almost surely, 2^57806112 is an apocalyptic number.

57806112 is a gapful number since it is divisible by the number (52) 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 57806112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94076640).

57806112 is an abundant number, since it is smaller than the sum of its proper divisors (130347168).

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

57806112 is a wasteful number, since it uses less digits than its factorization.

57806112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 57806112 is about 7603.0330789758. The cubic root of 57806112 is about 386.6558511970.

Adding to 57806112 its reverse (21160875), we get a palindrome (78966987).

The spelling of 57806112 in words is "fifty-seven million, eight hundred six thousand, one hundred twelve".