180805218 has 48 divisors (see below), whose sum is σ = 399191520. Its totient is φ = 54552960.

The previous prime is 180805211. The next prime is 180805243. The reversal of 180805218 is 812508081.

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 (180805211) 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, 244293 + ... + 245031.

It is an arithmetic number, because the mean of its divisors is an integer number (8316490).

Almost surely, 2^180805218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180805218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199595760).

180805218 is an abundant number, since it is smaller than the sum of its proper divisors (218386302).

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

180805218 is a wasteful number, since it uses less digits than its factorization.

180805218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 180805218 is about 13446.3830824501. The cubic root of 180805218 is about 565.4622973845.

The spelling of 180805218 in words is "one hundred eighty million, eight hundred five thousand, two hundred eighteen".