116180 has 24 divisors (see below), whose sum is σ = 252168. Its totient is φ = 44928.

The previous prime is 116177. The next prime is 116189. The reversal of 116180 is 81611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21316 + 94864 = 146^2 + 308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116189) 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, 662 + ... + 818.

It is an arithmetic number, because the mean of its divisors is an integer number (10507).

2¹¹⁶¹⁸⁰ is an apocalyptic number.

116180 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 116180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126084).

116180 is an abundant number, since it is smaller than the sum of its proper divisors (135988).

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

116180 is a wasteful number, since it uses less digits than its factorization.

116180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 116180 is about 340.8518739863. The cubic root of 116180 is about 48.7952024308.

Adding to 116180 its reverse (81611), we get a palindrome (197791).

The spelling of 116180 in words is "one hundred sixteen thousand, one hundred eighty".