1800180 has 72 divisors (see below), whose sum is σ = 5575752. Its totient is φ = 470016.

The previous prime is 1800179. The next prime is 1800191. The reversal of 1800180 is 810081.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 1527696 = 522^2 + 1236^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13072 + ... + 13208.

It is an arithmetic number, because the mean of its divisors is an integer number (77441).

2^1800180 is an apocalyptic number.

1800180 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 1800180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787876).

1800180 is an abundant number, since it is smaller than the sum of its proper divisors (3775572).

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

1800180 is a wasteful number, since it uses less digits than its factorization.

1800180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

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

The square root of 1800180 is about 1341.7078668622. The cubic root of 1800180 is about 121.6480945776.

Subtracting from 1800180 its reverse (810081), we obtain a palindrome (990099).

It can be divided in two parts, 18001 and 80, that added together give a palindrome (18081).

The spelling of 1800180 in words is "one million, eight hundred thousand, one hundred eighty".