180864000 has 264 divisors, whose sum is σ = 655907928. Its totient is φ = 47923200.

The previous prime is 180863999. The next prime is 180864001. The reversal of 180864000 is 468081.

180864000 is a `hidden beast` number, since 18 + 0 + 8 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (180863999) and next prime (180864001).

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 163021824 = 4224^2 + 12768^2 .

It is not an unprimeable number, because it can be changed into a prime (180864001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151922 + ... + 1152078.

Almost surely, 2^180864000 is an apocalyptic number.

180864000 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 180864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327953964).

180864000 is an abundant number, since it is smaller than the sum of its proper divisors (475043928).

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

180864000 is a wasteful number, since it uses less digits than its factorization.

180864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 180864000 is about 13448.5686970770. The cubic root of 180864000 is about 565.5235703272.

The spelling of 180864000 in words is "one hundred eighty million, eight hundred sixty-four thousand".