112456080 has 160 divisors (see below), whose sum is σ = 422651520. Its totient is φ = 27256320.

The previous prime is 112456049. The next prime is 112456081. The reversal of 112456080 is 80654211.

112456080 is a `hidden beast` number, since 1 + 1 + 24 + 560 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112456081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21394 + ... + 26126.

It is an arithmetic number, because the mean of its divisors is an integer number (2641572).

Almost surely, 2^112456080 is an apocalyptic number.

112456080 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 112456080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211325760).

112456080 is an abundant number, since it is smaller than the sum of its proper divisors (310195440).

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

112456080 is a wasteful number, since it uses less digits than its factorization.

112456080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4754 counting only the distinct ones).

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

The square root of 112456080 is about 10604.5311070316. The cubic root of 112456080 is about 482.6818629500.

The spelling of 112456080 in words is "one hundred twelve million, four hundred fifty-six thousand, eighty".