112564480 has 144 divisors (see below), whose sum is σ = 326712960. Its totient is φ = 36274176.

The previous prime is 112564453. The next prime is 112564499. The reversal of 112564480 is 84465211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151951 + ... + 152689.

It is an arithmetic number, because the mean of its divisors is an integer number (2268840).

Almost surely, 2^112564480 is an apocalyptic number.

112564480 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 112564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163356480).

112564480 is an abundant number, since it is smaller than the sum of its proper divisors (214148480).

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

112564480 is an equidigital number, since it uses as much as digits as its factorization.

112564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 112564480 is about 10609.6408987298. The cubic root of 112564480 is about 482.8369039553.

The spelling of 112564480 in words is "one hundred twelve million, five hundred sixty-four thousand, four hundred eighty".