113360 has 40 divisors (see below), whose sum is σ = 286440. Its totient is φ = 41472.

The previous prime is 113359. The next prime is 113363. The reversal of 113360 is 63311.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 107584 = 76^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (7161).

2¹¹³³⁶⁰ is an apocalyptic number.

113360 is a gapful number since it is divisible by the number (10) 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 113360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143220).

113360 is an abundant number, since it is smaller than the sum of its proper divisors (173080).

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

113360 is a wasteful number, since it uses less digits than its factorization.

113360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 113360 is about 336.6897681843. The cubic root of 113360 is about 48.3971676051.

Adding to 113360 its reverse (63311), we get a palindrome (176671).

The spelling of 113360 in words is "one hundred thirteen thousand, three hundred sixty".