112585344 has 64 divisors (see below), whose sum is σ = 306391680. Its totient is φ = 36608000.

The previous prime is 112585313. The next prime is 112585357. The reversal of 112585344 is 443585211.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 12169 + ... + 19319.

It is an arithmetic number, because the mean of its divisors is an integer number (4787370).

Almost surely, 2^112585344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112585344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153195840).

112585344 is an abundant number, since it is smaller than the sum of its proper divisors (193806336).

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

112585344 is an equidigital number, since it uses as much as digits as its factorization.

112585344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7209 (or 7197 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 112585344 is about 10610.6241098250. The cubic root of 112585344 is about 482.8667336340.

The spelling of 112585344 in words is "one hundred twelve million, five hundred eighty-five thousand, three hundred forty-four".