180609 has 16 divisors (see below), whose sum is σ = 283584. Its totient is φ = 100800.

The previous prime is 180569. The next prime is 180617. The reversal of 180609 is 906081.

It is not a de Polignac number, because 180609 - 2⁹ = 180097 is a prime.

It is a super-2 number, since 2×180609² = 65239221762, which contains 22 as substring.

It is a Curzon number.

180609 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180609.

It is not an unprimeable number, because it can be changed into a prime (180629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (17724).

2¹⁸⁰⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

180609 is a deficient number, since it is larger than the sum of its proper divisors (102975).

180609 is a wasteful number, since it uses less digits than its factorization.

180609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 180609 is about 424.9811760537. The cubic root of 180609 is about 56.5257668256.

The spelling of 180609 in words is "one hundred eighty thousand, six hundred nine".