180684306 has 48 divisors (see below), whose sum is σ = 440863488. Its totient is φ = 52984800.

The previous prime is 180684299. The next prime is 180684307. The reversal of 180684306 is 603486081.

It is a happy number.

180684306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (180684307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8581 + ... + 20856.

It is an arithmetic number, because the mean of its divisors is an integer number (9184656).

Almost surely, 2^180684306 is an apocalyptic number.

180684306 is an abundant number, since it is smaller than the sum of its proper divisors (260179182).

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

180684306 is a wasteful number, since it uses less digits than its factorization.

180684306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29487 (or 29484 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 180684306 is about 13441.8862515645. The cubic root of 180684306 is about 565.3362198583.

It can be divided in two parts, 180 and 684306, that added together give a palindrome (684486).

The spelling of 180684306 in words is "one hundred eighty million, six hundred eighty-four thousand, three hundred six".