327005952 has 144 divisors (see below), whose sum is σ = 1071383040. Its totient is φ = 86224896.

The previous prime is 327005929. The next prime is 327005953. The reversal of 327005952 is 259500723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327005953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67549 + ... + 72227.

It is an arithmetic number, because the mean of its divisors is an integer number (7440160).

Almost surely, 2^327005952 is an apocalyptic number.

327005952 is a gapful number since it is divisible by the number (32) 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 327005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535691520).

327005952 is an abundant number, since it is smaller than the sum of its proper divisors (744377088).

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

327005952 is a wasteful number, since it uses less digits than its factorization.

327005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4718 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 327005952 is about 18083.3058924523. The cubic root of 327005952 is about 688.9460574285.

The spelling of 327005952 in words is "three hundred twenty-seven million, five thousand, nine hundred fifty-two".