180068900 has 72 divisors (see below), whose sum is σ = 428451744. Its totient is φ = 65145600.

The previous prime is 180068897. The next prime is 180068927. The reversal of 180068900 is 9860081.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344039 + ... + 344561.

Almost surely, 2^180068900 is an apocalyptic number.

180068900 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 180068900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214225872).

180068900 is an abundant number, since it is smaller than the sum of its proper divisors (248382844).

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

180068900 is a wasteful number, since it uses less digits than its factorization.

180068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 180068900 is about 13418.9753707204. The cubic root of 180068900 is about 564.6936496746.

The spelling of 180068900 in words is "one hundred eighty million, sixty-eight thousand, nine hundred".