180516 has 36 divisors (see below), whose sum is σ = 491568. Its totient is φ = 51408.

The previous prime is 180511. The next prime is 180533. The reversal of 180516 is 615081.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 180492 and 180501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180516.

It is not an unprimeable number, because it can be changed into a prime (180511) by changing a digit.

180516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435 + ... + 741.

2¹⁸⁰⁵¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245784).

180516 is an abundant number, since it is smaller than the sum of its proper divisors (311052).

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

180516 is a wasteful number, since it uses less digits than its factorization.

180516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 180516 is about 424.8717453538. The cubic root of 180516 is about 56.5160629923.

Adding to 180516 its reverse (615081), we get a palindrome (795597).

It can be divided in two parts, 180 and 516, that added together give a palindrome (696).

The spelling of 180516 in words is "one hundred eighty thousand, five hundred sixteen".