112883680 has 96 divisors (see below), whose sum is σ = 328273344. Its totient is φ = 35721216.

The previous prime is 112883647. The next prime is 112883699. The reversal of 112883680 is 86388211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10684 + ... + 18436.

It is an arithmetic number, because the mean of its divisors is an integer number (3419514).

Almost surely, 2^112883680 is an apocalyptic number.

112883680 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 112883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164136672).

112883680 is an abundant number, since it is smaller than the sum of its proper divisors (215389664).

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

112883680 is a wasteful number, since it uses less digits than its factorization.

112883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 112883680 is about 10624.6731714439. The cubic root of 112883680 is about 483.2928680616.

The spelling of 112883680 in words is "one hundred twelve million, eight hundred eighty-three thousand, six hundred eighty".