180162216 has 96 divisors (see below), whose sum is σ = 533070720. Its totient is φ = 54633600.

The previous prime is 180162187. The next prime is 180162221. The reversal of 180162216 is 612261081.

180162216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×180162216³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180162216.

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, 65101 + ... + 67811.

It is an arithmetic number, because the mean of its divisors is an integer number (5552820).

Almost surely, 2^180162216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180162216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266535360).

180162216 is an abundant number, since it is smaller than the sum of its proper divisors (352908504).

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

180162216 is a wasteful number, since it uses less digits than its factorization.

180162216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 180162216 is about 13422.4519369600. The cubic root of 180162216 is about 564.7911787364.

The spelling of 180162216 in words is "one hundred eighty million, one hundred sixty-two thousand, two hundred sixteen".