180008268 has 48 divisors (see below), whose sum is σ = 462443520. Its totient is φ = 54043200.

The previous prime is 180008263. The next prime is 180008303. The reversal of 180008268 is 862800081.

180008268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (180008263) 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, 8133 + ... + 20643.

It is an arithmetic number, because the mean of its divisors is an integer number (9634240).

Almost surely, 2^180008268 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 180008268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231221760).

180008268 is an abundant number, since it is smaller than the sum of its proper divisors (282435252).

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

180008268 is a wasteful number, since it uses less digits than its factorization.

180008268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638 (or 12636 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 180008268 is about 13416.7159916278. The cubic root of 180008268 is about 564.6302621806.

The spelling of 180008268 in words is "one hundred eighty million, eight thousand, two hundred sixty-eight".