112356880 has 80 divisors (see below), whose sum is σ = 277125120. Its totient is φ = 42246144.

The previous prime is 112356869. The next prime is 112356889. The reversal of 112356880 is 88653211.

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

It is not an unprimeable number, because it can be changed into a prime (112356889) 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, 293169 + ... + 293551.

It is an arithmetic number, because the mean of its divisors is an integer number (3464064).

Almost surely, 2^112356880 is an apocalyptic number.

112356880 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 112356880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138562560).

112356880 is an abundant number, since it is smaller than the sum of its proper divisors (164768240).

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

112356880 is a wasteful number, since it uses less digits than its factorization.

112356880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 112356880 is about 10599.8528291670. The cubic root of 112356880 is about 482.5398930746.

The spelling of 112356880 in words is "one hundred twelve million, three hundred fifty-six thousand, eight hundred eighty".