113792016 has 120 divisors (see below), whose sum is σ = 336825664. Its totient is φ = 32901120.

The previous prime is 113791957. The next prime is 113792051. The reversal of 113792016 is 610297311.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180021 + ... + 180651.

Almost surely, 2^113792016 is an apocalyptic number.

113792016 is a gapful number since it is divisible by the number (16) 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 113792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168412832).

113792016 is an abundant number, since it is smaller than the sum of its proper divisors (223033648).

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

113792016 is a wasteful number, since it uses less digits than its factorization.

113792016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 113792016 is about 10667.3340624544. The cubic root of 113792016 is about 484.5857035216.

The spelling of 113792016 in words is "one hundred thirteen million, seven hundred ninety-two thousand, sixteen".