180809952 has 48 divisors (see below), whose sum is σ = 481727232. Its totient is φ = 59368320.

The previous prime is 180809921. The next prime is 180809957. The reversal of 180809952 is 259908081.

It is a happy number.

180809952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180809957) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7624 + ... + 20487.

It is an arithmetic number, because the mean of its divisors is an integer number (10035984).

Almost surely, 2^180809952 is an apocalyptic number.

180809952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

180809952 is an abundant number, since it is smaller than the sum of its proper divisors (300917280).

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

180809952 is a wasteful number, since it uses less digits than its factorization.

180809952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28191 (or 28183 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 180809952 is about 13446.5591137659. The cubic root of 180809952 is about 565.4672324839.

The spelling of 180809952 in words is "one hundred eighty million, eight hundred nine thousand, nine hundred fifty-two".