180960000 has 360 divisors, whose sum is σ = 670472880. Its totient is φ = 43008000.

The previous prime is 180959981. The next prime is 180960001. The reversal of 180960000 is 69081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180960001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6239986 + ... + 6240014.

Almost surely, 2^180960000 is an apocalyptic number.

180960000 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 180960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335236440).

180960000 is an abundant number, since it is smaller than the sum of its proper divisors (489512880).

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

180960000 is an equidigital number, since it uses as much as digits as its factorization.

180960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 180960000 is about 13452.1373766402. The cubic root of 180960000 is about 565.6236098783.

The spelling of 180960000 in words is "one hundred eighty million, nine hundred sixty thousand".