112880 has 40 divisors (see below), whose sum is σ = 281232. Its totient is φ = 41984.

The previous prime is 112877. The next prime is 112901. The reversal of 112880 is 88211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1319 + ... + 1401.

2¹¹²⁸⁸⁰ is an apocalyptic number.

112880 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 112880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616).

112880 is an abundant number, since it is smaller than the sum of its proper divisors (168352).

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

112880 is a wasteful number, since it uses less digits than its factorization.

112880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 112880 is about 335.9761896325. The cubic root of 112880 is about 48.3287616233.

The spelling of 112880 in words is "one hundred twelve thousand, eight hundred eighty".