112884800 has 84 divisors (see below), whose sum is σ = 317479680. Its totient is φ = 38699520.

The previous prime is 112884797. The next prime is 112884829. The reversal of 112884800 is 8488211.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 11 ways as a sum of consecutive naturals, for example, 6161 + ... + 16239.

It is an arithmetic number, because the mean of its divisors is an integer number (3779520).

Almost surely, 2^112884800 is an apocalyptic number.

112884800 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 112884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

112884800 is an abundant number, since it is smaller than the sum of its proper divisors (204594880).

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

112884800 is a wasteful number, since it uses less digits than its factorization.

112884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10108 (or 10093 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 112884800 is about 10624.7258788168. The cubic root of 112884800 is about 483.2944664215.

The spelling of 112884800 in words is "one hundred twelve million, eight hundred eighty-four thousand, eight hundred".