118080 has 84 divisors (see below), whose sum is σ = 416052. Its totient is φ = 30720.

The previous prime is 118061. The next prime is 118081. The reversal of 118080 is 80811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 97344 = 144^2 + 312^2 .

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 82 × 18 × 80.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118081) by changing a digit.

118080 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, 2860 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (4953).

2¹¹⁸⁰⁸⁰ is an apocalyptic number.

118080 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 118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208026).

118080 is an abundant number, since it is smaller than the sum of its proper divisors (297972).

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

118080 is a wasteful number, since it uses less digits than its factorization.

118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 118080 is about 343.6277055186. The cubic root of 118080 is about 49.0597632590.

Adding to 118080 its reverse (80811), we get a palindrome (198891).

It can be divided in two parts, 1 and 18080, that added together give a palindrome (18081).

The spelling of 118080 in words is "one hundred eighteen thousand, eighty".