180117210 has 128 divisors (see below), whose sum is σ = 563480064. Its totient is φ = 35758080.

The previous prime is 180117199. The next prime is 180117211. The reversal of 180117210 is 12711081.

180117210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (180117211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44470 + ... + 48350.

It is an arithmetic number, because the mean of its divisors is an integer number (4402188).

Almost surely, 2^180117210 is an apocalyptic number.

180117210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180117210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281740032).

180117210 is an abundant number, since it is smaller than the sum of its proper divisors (383362854).

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

180117210 is a wasteful number, since it uses less digits than its factorization.

180117210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928.

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 180117210 is about 13420.7753129244. The cubic root of 180117210 is about 564.7441449960.

Adding to 180117210 its reverse (12711081), we get a palindrome (192828291).

The spelling of 180117210 in words is "one hundred eighty million, one hundred seventeen thousand, two hundred ten".