112346880 has 144 divisors (see below), whose sum is σ = 380134944. Its totient is φ = 28180480.

The previous prime is 112346879. The next prime is 112346887. The reversal of 112346880 is 88643211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112346887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64420 + ... + 66140.

It is an arithmetic number, because the mean of its divisors is an integer number (2639826).

Almost surely, 2^112346880 is an apocalyptic number.

112346880 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 112346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190067472).

112346880 is an abundant number, since it is smaller than the sum of its proper divisors (267788064).

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

112346880 is a wasteful number, since it uses less digits than its factorization.

112346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 112346880 is about 10599.3811140085. The cubic root of 112346880 is about 482.5255769595.

The spelling of 112346880 in words is "one hundred twelve million, three hundred forty-six thousand, eight hundred eighty".