112394880 has 384 divisors, whose sum is σ = 445536000. Its totient is φ = 25878528.

The previous prime is 112394839. The next prime is 112394897. The reversal of 112394880 is 88493211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-5 number, since 5×112394880⁵ (a number of 41 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422681 + ... + 1422759.

It is an arithmetic number, because the mean of its divisors is an integer number (1160250).

Almost surely, 2^112394880 is an apocalyptic number.

112394880 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 112394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768000).

112394880 is an abundant number, since it is smaller than the sum of its proper divisors (333141120).

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

112394880 is a wasteful number, since it uses less digits than its factorization.

112394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 112394880 is about 10601.6451553521. The cubic root of 112394880 is about 482.5942865665.

The spelling of 112394880 in words is "one hundred twelve million, three hundred ninety-four thousand, eight hundred eighty".