112875984 has 160 divisors (see below), whose sum is σ = 354144000. Its totient is φ = 34214400.

The previous prime is 112875967. The next prime is 112876007. The reversal of 112875984 is 489578211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567117 + ... + 567315.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2^112875984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112875984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177072000).

112875984 is an abundant number, since it is smaller than the sum of its proper divisors (241268016).

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

112875984 is a wasteful number, since it uses less digits than its factorization.

112875984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 112875984 is about 10624.3109894242. The cubic root of 112875984 is about 483.2818847602.

It can be divided in two parts, 11287 and 5984, that added together give a palindrome (17271).

The spelling of 112875984 in words is "one hundred twelve million, eight hundred seventy-five thousand, nine hundred eighty-four".