112560768 has 96 divisors (see below), whose sum is σ = 326196000. Its totient is φ = 37255680.

The previous prime is 112560751. The next prime is 112560787. The reversal of 112560768 is 867065211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 229003 + ... + 229493.

It is an arithmetic number, because the mean of its divisors is an integer number (3397875).

Almost surely, 2^112560768 is an apocalyptic number.

112560768 is a gapful number since it is divisible by the number (18) 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 112560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163098000).

112560768 is an abundant number, since it is smaller than the sum of its proper divisors (213635232).

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

112560768 is a wasteful number, since it uses less digits than its factorization.

112560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 112560768 is about 10609.4659620548. The cubic root of 112560768 is about 482.8315964483.

The spelling of 112560768 in words is "one hundred twelve million, five hundred sixty thousand, seven hundred sixty-eight".