180018 has 24 divisors (see below), whose sum is σ = 398268. Its totient is φ = 58752.

The previous prime is 180007. The next prime is 180023. The reversal of 180018 is 810081.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 178929 + 1089 = 423^2 + 33^2 .

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

180018 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1246 + ... + 1382.

2¹⁸⁰⁰¹⁸ is an apocalyptic number.

180018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

180018 is an abundant number, since it is smaller than the sum of its proper divisors (218250).

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

180018 is a wasteful number, since it uses less digits than its factorization.

180018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 215 counting only the distinct ones).

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

The square root of 180018 is about 424.2852813851. The cubic root of 180018 is about 56.4640437422.

180018 divided by its sum of digits (18) gives a palindrome (10001).

Adding to 180018 its reverse (810081), we get a palindrome (990099).

It can be divided in two parts, 1800 and 18, that multiplied together give a square (32400 = 180²).

The spelling of 180018 in words is "one hundred eighty thousand, eighteen".