112882176 has 240 divisors, whose sum is σ = 379181088. Its totient is φ = 31948800.

The previous prime is 112882169. The next prime is 112882201. The reversal of 112882176 is 671288211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112882176.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 861631 + ... + 861761.

Almost surely, 2^112882176 is an apocalyptic number.

112882176 is a gapful number since it is divisible by the number (16) 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 112882176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189590544).

112882176 is an abundant number, since it is smaller than the sum of its proper divisors (266298912).

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

112882176 is a wasteful number, since it uses less digits than its factorization.

112882176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 112882176 is about 10624.6023925604. The cubic root of 112882176 is about 483.2907216761.

It can be divided in two parts, 112 and 882176, that added together give a palindrome (882288).

The spelling of 112882176 in words is "one hundred twelve million, eight hundred eighty-two thousand, one hundred seventy-six".