180218000 has 80 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 71600000.

The previous prime is 180217997. The next prime is 180218011. The reversal of 180218000 is 812081.

180218000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501821 + ... + 502179.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^180218000 is an apocalyptic number.

180218000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

180218000 is an abundant number, since it is smaller than the sum of its proper divisors (258503920).

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

180218000 is a wasteful number, since it uses less digits than its factorization.

180218000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 180218000 is about 13424.5297869236. The cubic root of 180218000 is about 564.8494652084.

The spelling of 180218000 in words is "one hundred eighty million, two hundred eighteen thousand".