900180 has 48 divisors (see below), whose sum is σ = 2802240. Its totient is φ = 239904.

The previous prime is 900169. The next prime is 900187. The reversal of 900180 is 81009.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900187) by changing a digit.

900180 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 15 ways as a sum of consecutive naturals, for example, 294 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (58380).

2⁹⁰⁰¹⁸⁰ is an apocalyptic number.

900180 is a gapful number since it is divisible by the number (90) 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 900180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401120).

900180 is an abundant number, since it is smaller than the sum of its proper divisors (1902060).

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

900180 is a wasteful number, since it uses less digits than its factorization.

900180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 900180 is about 948.7781616374. The cubic root of 900180 is about 96.5553746274. Note that the first 3 decimals are identical.

Adding to 900180 its reverse (81009), we get a palindrome (981189).

The spelling of 900180 in words is "nine hundred thousand, one hundred eighty".