112560840 has 240 divisors, whose sum is σ = 440718300. Its totient is φ = 25691904.

The previous prime is 112560829. The next prime is 112560857. The reversal of 112560840 is 48065211.

112560840 is a `hidden beast` number, since 1 + 12 + 5 + 608 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 8398404 = 10206^2 + 2898^2 .

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 59 ways as a sum of consecutive naturals, for example, 158406 + ... + 159114.

Almost surely, 2^112560840 is an apocalyptic number.

112560840 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 112560840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220359150).

112560840 is an abundant number, since it is smaller than the sum of its proper divisors (328157460).

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

112560840 is a wasteful number, since it uses less digits than its factorization.

112560840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112560840 is about 10609.4693552505. The cubic root of 112560840 is about 482.8316993968.

The spelling of 112560840 in words is "one hundred twelve million, five hundred sixty thousand, eight hundred forty".