112264320 has 128 divisors (see below), whose sum is σ = 409011840. Its totient is φ = 25657344.

The previous prime is 112264319. The next prime is 112264381. The reversal of 112264320 is 23462211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 9264 + ... + 17616.

It is an arithmetic number, because the mean of its divisors is an integer number (3195405).

Almost surely, 2^112264320 is an apocalyptic number.

112264320 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 112264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204505920).

112264320 is an abundant number, since it is smaller than the sum of its proper divisors (296747520).

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

112264320 is an equidigital number, since it uses as much as digits as its factorization.

112264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8382 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 112264320 is about 10595.4858312396. The cubic root of 112264320 is about 482.4073506411.

The spelling of 112264320 in words is "one hundred twelve million, two hundred sixty-four thousand, three hundred twenty".