112564660 has 48 divisors (see below), whose sum is σ = 263365200. Its totient is φ = 40126464.

The previous prime is 112564649. The next prime is 112564663. The reversal of 112564660 is 66465211.

It can be written as a sum of positive squares in 8 ways, for example, as 289444 + 112275216 = 538^2 + 10596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112564663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76 + ... + 15004.

It is an arithmetic number, because the mean of its divisors is an integer number (5486775).

Almost surely, 2^112564660 is an apocalyptic number.

112564660 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 112564660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131682600).

112564660 is an abundant number, since it is smaller than the sum of its proper divisors (150800540).

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

112564660 is a wasteful number, since it uses less digits than its factorization.

112564660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14980 (or 14978 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 112564660 is about 10609.6493815771. The cubic root of 112564660 is about 482.8371613207.

The spelling of 112564660 in words is "one hundred twelve million, five hundred sixty-four thousand, six hundred sixty".