180968844 has 96 divisors (see below), whose sum is σ = 512064000. Its totient is φ = 48591360.

The previous prime is 180968839. The next prime is 180968857. The reversal of 180968844 is 448869081.

180968844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 180968793 and 180968802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237424 + ... + 238184.

It is an arithmetic number, because the mean of its divisors is an integer number (5334000).

Almost surely, 2^180968844 is an apocalyptic number.

180968844 is a gapful number since it is divisible by the number (14) 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 180968844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032000).

180968844 is an abundant number, since it is smaller than the sum of its proper divisors (331095156).

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

180968844 is a wasteful number, since it uses less digits than its factorization.

180968844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 180968844 is about 13452.4660936202. The cubic root of 180968844 is about 565.6328242419.

The spelling of 180968844 in words is "one hundred eighty million, nine hundred sixty-eight thousand, eight hundred forty-four".