180810 has 72 divisors (see below), whose sum is σ = 560196. Its totient is φ = 40320.

The previous prime is 180799. The next prime is 180811. The reversal of 180810 is 18081.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 159201 + 21609 = 399^2 + 147^2 .

It is a super-2 number, since 2×180810² = 65384512200, which contains 22 as substring.

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

180810 is a modest number, since divided by 810 gives 180 as remainder.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180810.

It is not an unprimeable number, because it can be changed into a prime (180811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4390 + ... + 4430.

2¹⁸⁰⁸¹⁰ is an apocalyptic number.

180810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280098).

180810 is an abundant number, since it is smaller than the sum of its proper divisors (379386).

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

180810 is a wasteful number, since it uses less digits than its factorization.

180810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

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

The square root of 180810 is about 425.2175913576. The cubic root of 180810 is about 56.5467282522.

Adding to 180810 its reverse (18081), we get a palindrome (198891).

It can be divided in two parts, 180 and 810, that added together give a triangular number (990 = T₄₄).

The spelling of 180810 in words is "one hundred eighty thousand, eight hundred ten".