327007632 has 160 divisors (see below), whose sum is σ = 1025489920. Its totient is φ = 87713280.

The previous prime is 327007619. The next prime is 327007663. The reversal of 327007632 is 236700723.

327007632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 327007632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155363 + ... + 1155645.

It is an arithmetic number, because the mean of its divisors is an integer number (6409312).

Almost surely, 2^327007632 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 327007632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512744960).

327007632 is an abundant number, since it is smaller than the sum of its proper divisors (698482288).

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

327007632 is a wasteful number, since it uses less digits than its factorization.

327007632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 327007632 is about 18083.3523440760. The cubic root of 327007632 is about 688.9472372515.

The spelling of 327007632 in words is "three hundred twenty-seven million, seven thousand, six hundred thirty-two".