112996296 has 160 divisors (see below), whose sum is σ = 374616000. Its totient is φ = 31135104.

The previous prime is 112996291. The next prime is 112996313. The reversal of 112996296 is 692699211.

112996296 is a `hidden beast` number, since 1 + 12 + 9 + 9 + 629 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112996291) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131115 + ... + 131973.

It is an arithmetic number, because the mean of its divisors is an integer number (2341350).

Almost surely, 2^112996296 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 112996296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187308000).

112996296 is an abundant number, since it is smaller than the sum of its proper divisors (261619704).

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

112996296 is a wasteful number, since it uses less digits than its factorization.

112996296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 112996296 is about 10629.9715898021. The cubic root of 112996296 is about 483.4535302598.

The spelling of 112996296 in words is "one hundred twelve million, nine hundred ninety-six thousand, two hundred ninety-six".