113680 has 60 divisors (see below), whose sum is σ = 318060. Its totient is φ = 37632.

The previous prime is 113657. The next prime is 113683. The reversal of 113680 is 86311.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 63504 = 224^2 + 252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113683) by changing a digit.

113680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3906 + ... + 3934.

It is an arithmetic number, because the mean of its divisors is an integer number (5301).

2¹¹³⁶⁸⁰ is an apocalyptic number.

113680 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 113680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159030).

113680 is an abundant number, since it is smaller than the sum of its proper divisors (204380).

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

113680 is a wasteful number, since it uses less digits than its factorization.

113680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 113680 is about 337.1646482062. The cubic root of 113680 is about 48.4426643817.

Adding to 113680 its reverse (86311), we get a palindrome (199991).

The spelling of 113680 in words is "one hundred thirteen thousand, six hundred eighty".