180216 has 24 divisors (see below), whose sum is σ = 488280. Its totient is φ = 60048.

The previous prime is 180211. The next prime is 180221. The reversal of 180216 is 612081.

It is an interprime number because it is at equal distance from previous prime (180211) and next prime (180221).

It is a tau number, because it is divible by the number of its divisors (24).

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

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 180216.

It is not an unprimeable number, because it can be changed into a prime (180211) by changing a digit.

180216 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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1180 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (20345).

2¹⁸⁰²¹⁶ is an apocalyptic number.

It is an amenable number.

180216 is an abundant number, since it is smaller than the sum of its proper divisors (308064).

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

180216 is a wasteful number, since it uses less digits than its factorization.

180216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 180216 is about 424.5185508314. The cubic root of 180216 is about 56.4847375696.

Adding to 180216 its reverse (612081), we get a palindrome (792297).

The spelling of 180216 in words is "one hundred eighty thousand, two hundred sixteen".