112440960 has 224 divisors, whose sum is σ = 404694180. Its totient is φ = 29859840.

The previous prime is 112440959. The next prime is 112440973. The reversal of 112440960 is 69044211.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 419904 = 10584^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 466440 + ... + 466680.

Almost surely, 2^112440960 is an apocalyptic number.

112440960 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 112440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202347090).

112440960 is an abundant number, since it is smaller than the sum of its proper divisors (292253220).

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

112440960 is an frugal number, since it uses more digits than its factorization.

112440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112440960 is about 10603.8181802594. The cubic root of 112440960 is about 482.6602293875.

The spelling of 112440960 in words is "one hundred twelve million, four hundred forty thousand, nine hundred sixty".