180855040 has 72 divisors (see below), whose sum is σ = 435801240. Its totient is φ = 71909376.

The previous prime is 180855011. The next prime is 180855041. The reversal of 180855040 is 40558081.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 167547136 = 3648^2 + 12944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 180854993 and 180855011.

It is not an unprimeable number, because it can be changed into a prime (180855041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292812 + ... + 293428.

It is an arithmetic number, because the mean of its divisors is an integer number (6052795).

Almost surely, 2^180855040 is an apocalyptic number.

180855040 is a gapful number since it is divisible by the number (10) 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 180855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217900620).

180855040 is an abundant number, since it is smaller than the sum of its proper divisors (254946200).

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

180855040 is an equidigital number, since it uses as much as digits as its factorization.

180855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 180855040 is about 13448.2355719998. The cubic root of 180855040 is about 565.5142314964.

The spelling of 180855040 in words is "one hundred eighty million, eight hundred fifty-five thousand, forty".