180180 has 144 divisors (see below), whose sum is σ = 733824. Its totient is φ = 34560.

The previous prime is 180179. The next prime is 180181. The reversal of 180180 is 81081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (180179) and next prime (180181).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13854 + ... + 13866.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

2¹⁸⁰¹⁸⁰ is an apocalyptic number.

180180 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 180180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912).

180180 is an abundant number, since it is smaller than the sum of its proper divisors (553644).

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

180180 is a wasteful number, since it uses less digits than its factorization.

180180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 41 counting only the distinct ones).

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

The square root of 180180 is about 424.4761477398. The cubic root of 180180 is about 56.4809761833.

Subtracting from 180180 its reverse (81081), we obtain a palindrome (99099).

It can be divided in two parts, 1801 and 80, that added together give a palindrome (1881).

The spelling of 180180 in words is "one hundred eighty thousand, one hundred eighty".