112084992 has 96 divisors (see below), whose sum is σ = 332186400. Its totient is φ = 37343232.

The previous prime is 112084991. The next prime is 112084997. The reversal of 112084992 is 299480211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112084991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54283 + ... + 56309.

It is an arithmetic number, because the mean of its divisors is an integer number (3460275).

Almost surely, 2^112084992 is an apocalyptic number.

112084992 is a gapful number since it is divisible by the number (12) 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 112084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166093200).

112084992 is an abundant number, since it is smaller than the sum of its proper divisors (220101408).

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

112084992 is an equidigital number, since it uses as much as digits as its factorization.

112084992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 112084992 is about 10587.0199773118. The cubic root of 112084992 is about 482.1503522503.

The spelling of 112084992 in words is "one hundred twelve million, eighty-four thousand, nine hundred ninety-two".