327960000 has 210 divisors, whose sum is σ = 1175961072. Its totient is φ = 87360000.

The previous prime is 327959993. The next prime is 327960001. The reversal of 327960000 is 69723.

327960000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327960001) 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 29 ways as a sum of consecutive naturals, for example, 359545 + ... + 360455.

Almost surely, 2^327960000 is an apocalyptic number.

327960000 is a gapful number since it is divisible by the number (30) 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 327960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587980536).

327960000 is an abundant number, since it is smaller than the sum of its proper divisors (848001072).

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

327960000 is an equidigital number, since it uses as much as digits as its factorization.

327960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 327960000 is about 18109.6659273439. The cubic root of 327960000 is about 689.6154126504.

The spelling of 327960000 in words is "three hundred twenty-seven million, nine hundred sixty thousand".