180885312 has 98 divisors (see below), whose sum is σ = 538309058. Its totient is φ = 60279552.

The previous prime is 180885311. The next prime is 180885323. The reversal of 180885312 is 213588081.

It can be written as a sum of positive squares in only one way, i.e., 136048896 + 44836416 = 11664^2 + 6696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180885311) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44718 + ... + 48594.

Almost surely, 2^180885312 is an apocalyptic number.

180885312 is a gapful number since it is divisible by the number (12) 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 180885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269154529).

180885312 is an abundant number, since it is smaller than the sum of its proper divisors (357423746).

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

180885312 is an frugal number, since it uses more digits than its factorization.

180885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 180885312 is about 13449.3610257142. The cubic root of 180885312 is about 565.5457821640.

The spelling of 180885312 in words is "one hundred eighty million, eight hundred eighty-five thousand, three hundred twelve".