113568 has 72 divisors (see below), whose sum is σ = 368928. Its totient is φ = 29952.

The previous prime is 113567. The next prime is 113591. The reversal of 113568 is 865311.

It is a Cunningham number, because it is equal to 337²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (113567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8730 + ... + 8742.

It is an arithmetic number, because the mean of its divisors is an integer number (5124).

2¹¹³⁵⁶⁸ 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 113568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184464).

113568 is an abundant number, since it is smaller than the sum of its proper divisors (255360).

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

113568 is a wasteful number, since it uses less digits than its factorization.

113568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 25 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 113568 is about 336.9985163172. The cubic root of 113568 is about 48.4267502333.

Adding to 113568 its reverse (865311), we get a palindrome (978879).

The spelling of 113568 in words is "one hundred thirteen thousand, five hundred sixty-eight".