113664 has 44 divisors (see below), whose sum is σ = 311144. Its totient is φ = 36864.

The previous prime is 113657. The next prime is 113683. The reversal of 113664 is 466311.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113664.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 113664.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3054 + ... + 3090.

2¹¹³⁶⁶⁴ 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 113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155572).

113664 is an abundant number, since it is smaller than the sum of its proper divisors (197480).

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

113664 is an equidigital number, since it uses as much as digits as its factorization.

113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 113664 is about 337.1409200913. The cubic root of 113664 is about 48.4403915721.

Adding to 113664 its reverse (466311), we get a palindrome (579975).

It can be divided in two parts, 113 and 664, that added together give a palindrome (777).

The spelling of 113664 in words is "one hundred thirteen thousand, six hundred sixty-four".