112309680 has 80 divisors (see below), whose sum is σ = 397903104. Its totient is φ = 25670400.

The previous prime is 112309609. The next prime is 112309727. The reversal of 112309680 is 86903211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112309680² = 25226928443404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31746 + ... + 35105.

Almost surely, 2^112309680 is an apocalyptic number.

112309680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112309680 is an abundant number, since it is smaller than the sum of its proper divisors (285593424).

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

112309680 is a wasteful number, since it uses less digits than its factorization.

112309680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66874 (or 66868 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 112309680 is about 10597.6261492846. The cubic root of 112309680 is about 482.4723135518.

It can be divided in two parts, 11230 and 9680, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 112309680 in words is "one hundred twelve million, three hundred nine thousand, six hundred eighty".