180333216 has 144 divisors (see below), whose sum is σ = 607973184. Its totient is φ = 51508224.

The previous prime is 180333193. The next prime is 180333233. The reversal of 180333216 is 612333081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 180333216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52776 + ... + 56088.

It is an arithmetic number, because the mean of its divisors is an integer number (4222036).

Almost surely, 2^180333216 is an apocalyptic number.

180333216 is a gapful number since it is divisible by the number (16) 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 180333216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303986592).

180333216 is an abundant number, since it is smaller than the sum of its proper divisors (427639968).

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

180333216 is an equidigital number, since it uses as much as digits as its factorization.

180333216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 180333216 is about 13428.8203502765. The cubic root of 180333216 is about 564.9698117371.

Adding to 180333216 its reverse (612333081), we get a palindrome (792666297).

The spelling of 180333216 in words is "one hundred eighty million, three hundred thirty-three thousand, two hundred sixteen".