180229920 has 192 divisors, whose sum is σ = 647740800. Its totient is φ = 41730048.

The previous prime is 180229901. The next prime is 180229957. The reversal of 180229920 is 29922081.

It is a happy number.

180229920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 105231 + ... + 106929.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^180229920 is an apocalyptic number.

180229920 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 180229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

180229920 is an abundant number, since it is smaller than the sum of its proper divisors (467510880).

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

180229920 is a wasteful number, since it uses less digits than its factorization.

180229920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 180229920 is about 13424.9737429911. The cubic root of 180229920 is about 564.8619183803.

The spelling of 180229920 in words is "one hundred eighty million, two hundred twenty-nine thousand, nine hundred twenty".