113696 has 48 divisors (see below), whose sum is σ = 272160. Its totient is φ = 46080.

The previous prime is 113683. The next prime is 113717. The reversal of 113696 is 696311.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113696.

It is an unprimeable number.

113696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5975 + ... + 5993.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2¹¹³⁶⁹⁶ is an apocalyptic number.

113696 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 113696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

113696 is an abundant number, since it is smaller than the sum of its proper divisors (158464).

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

113696 is a wasteful number, since it uses less digits than its factorization.

113696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 49 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 113696 is about 337.1883746513. The cubic root of 113696 is about 48.4449369781. Note that the first 3 decimals are identical.

Multiplying 113696 by its sum of digits (26), we get a triangular number (2956096 = T₂₄₃₁).

The spelling of 113696 in words is "one hundred thirteen thousand, six hundred ninety-six".