180324 has 18 divisors (see below), whose sum is σ = 455910. Its totient is φ = 60096.

The previous prime is 180317. The next prime is 180331. The reversal of 180324 is 423081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (180317) and next prime (180331).

It can be written as a sum of positive squares in only one way, i.e., 152100 + 28224 = 390^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

180324 is a modest number, since divided by 324 gives 180 as remainder.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 180297 and 180306.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2469 + ... + 2540.

2¹⁸⁰³²⁴ is an apocalyptic number.

It is an amenable number.

180324 is an abundant number, since it is smaller than the sum of its proper divisors (275586).

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

180324 is a wasteful number, since it uses less digits than its factorization.

180324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 180324 is about 424.6457347013. The cubic root of 180324 is about 56.4960187238.

The spelling of 180324 in words is "one hundred eighty thousand, three hundred twenty-four".