113616 has 40 divisors (see below), whose sum is σ = 327360. Its totient is φ = 37728.

The previous prime is 113591. The next prime is 113621. The reversal of 113616 is 616311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

113616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2¹¹³⁶¹⁶ is an apocalyptic number.

113616 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 113616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680).

113616 is an abundant number, since it is smaller than the sum of its proper divisors (213744).

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

113616 is a wasteful number, since it uses less digits than its factorization.

113616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 113616 is about 337.0697257245. The cubic root of 113616 is about 48.4335718632.

Adding to 113616 its reverse (616311), we get a palindrome (729927).

It can be divided in two parts, 113 and 616, that added together give a 6-th power (729 = 3⁶).

The spelling of 113616 in words is "one hundred thirteen thousand, six hundred sixteen".