112862160 has 100 divisors (see below), whose sum is σ = 392009508. Its totient is φ = 30094848.

The previous prime is 112862153. The next prime is 112862177. The reversal of 112862160 is 61268211.

112862160 is a `hidden beast` number, since 11 + 28 + 621 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78428736 + 34433424 = 8856^2 + 5868^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2229 + ... + 15188.

Almost surely, 2^112862160 is an apocalyptic number.

112862160 is a gapful number since it is divisible by the number (10) 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 112862160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196004754).

112862160 is an abundant number, since it is smaller than the sum of its proper divisors (279147348).

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

112862160 is a wasteful number, since it uses less digits than its factorization.

112862160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17442 (or 17427 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 112862160 is about 10623.6603861381. The cubic root of 112862160 is about 483.2621546656.

The spelling of 112862160 in words is "one hundred twelve million, eight hundred sixty-two thousand, one hundred sixty".