113968 has 20 divisors (see below), whose sum is σ = 234360. Its totient is φ = 53504.

The previous prime is 113963. The next prime is 113969. The reversal of 113968 is 869311.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (113963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2¹¹³⁹⁶⁸ 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 113968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117180).

113968 is an abundant number, since it is smaller than the sum of its proper divisors (120392).

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

113968 is a wasteful number, since it uses less digits than its factorization.

113968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 113968 is about 337.5914690865. The cubic root of 113968 is about 48.4835385378.

It can be divided in two parts, 113 and 968, that added together give a triangular number (1081 = T₄₆).

The spelling of 113968 in words is "one hundred thirteen thousand, nine hundred sixty-eight".