327120864 has 144 divisors (see below), whose sum is σ = 1006801488. Its totient is φ = 92725248.

The previous prime is 327120863. The next prime is 327120869. The reversal of 327120864 is 468021723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327120863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926512 + ... + 926864.

It is an arithmetic number, because the mean of its divisors is an integer number (6991677).

Almost surely, 2^327120864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503400744).

327120864 is an abundant number, since it is smaller than the sum of its proper divisors (679680624).

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

327120864 is a wasteful number, since it uses less digits than its factorization.

327120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 327120864 is about 18086.4829085149. The cubic root of 327120864 is about 689.0267480065.

The spelling of 327120864 in words is "three hundred twenty-seven million, one hundred twenty thousand, eight hundred sixty-four".