113968296 has 160 divisors (see below), whose sum is σ = 350048160. Its totient is φ = 34432128.

The previous prime is 113968291. The next prime is 113968319. The reversal of 113968296 is 692869311.

It is a happy number.

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 (113968291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 699111 + ... + 699273.

It is an arithmetic number, because the mean of its divisors is an integer number (2187801).

Almost surely, 2^113968296 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 113968296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175024080).

113968296 is an abundant number, since it is smaller than the sum of its proper divisors (236079864).

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

113968296 is a wasteful number, since it uses less digits than its factorization.

113968296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 113968296 is about 10675.5934729644. The cubic root of 113968296 is about 484.8358051195.

The spelling of 113968296 in words is "one hundred thirteen million, nine hundred sixty-eight thousand, two hundred ninety-six".