327871680 has 112 divisors (see below), whose sum is σ = 1076980320. Its totient is φ = 84410368.

The previous prime is 327871679. The next prime is 327871697. The reversal of 327871680 is 86178723.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21952 + ... + 33728.

Almost surely, 2^327871680 is an apocalyptic number.

327871680 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 327871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538490160).

327871680 is an abundant number, since it is smaller than the sum of its proper divisors (749108640).

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

327871680 is a wasteful number, since it uses less digits than its factorization.

327871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11826 (or 11816 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 327871680 is about 18107.2272863628. The cubic root of 327871680 is about 689.5535023549.

The spelling of 327871680 in words is "three hundred twenty-seven million, eight hundred seventy-one thousand, six hundred eighty".