117180 has 96 divisors (see below), whose sum is σ = 430080. Its totient is φ = 25920.

The previous prime is 117167. The next prime is 117191. The reversal of 117180 is 81711.

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

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

117180 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 31 ways as a sum of consecutive naturals, for example, 3765 + ... + 3795.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

2¹¹⁷¹⁸⁰ is an apocalyptic number.

117180 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 117180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215040).

117180 is an abundant number, since it is smaller than the sum of its proper divisors (312900).

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

117180 is a wasteful number, since it uses less digits than its factorization.

117180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 117180 is about 342.3156438143. The cubic root of 117180 is about 48.9348015276.

Adding to 117180 its reverse (81711), we get a palindrome (198891).

The spelling of 117180 in words is "one hundred seventeen thousand, one hundred eighty".