112705984 has 56 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 54672384.

The previous prime is 112705969. The next prime is 112705991. The reversal of 112705984 is 489507211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505297 + ... + 505519.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^112705984 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 112705984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

112705984 is an abundant number, since it is smaller than the sum of its proper divisors (117722816).

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

112705984 is a wasteful number, since it uses less digits than its factorization.

112705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 112705984 is about 10616.3074559849. The cubic root of 112705984 is about 483.0391428369.

The spelling of 112705984 in words is "one hundred twelve million, seven hundred five thousand, nine hundred eighty-four".