327936 has 72 divisors (see below), whose sum is σ = 1013824. Its totient is φ = 92160.

The previous prime is 327923. The next prime is 327941. The reversal of 327936 is 639723.

It is a happy number.

327936 is nontrivially palindromic in base 15.

It is a nialpdrome in base 14.

It is an unprimeable number.

327936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5346 + ... + 5406.

327936 is a Friedman number, since it can be written as ((3+2)^6-9)*7*3, using all its digits and the basic arithmetic operations.

2³²⁷⁹³⁶ 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 327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506912).

327936 is an abundant number, since it is smaller than the sum of its proper divisors (685888).

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

327936 is an equidigital number, since it uses as much as digits as its factorization.

327936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its digits is 6804, while the sum is 30.

The square root of 327936 is about 572.6569653815. The cubic root of 327936 is about 68.9598590300.

The spelling of 327936 in words is "three hundred twenty-seven thousand, nine hundred thirty-six".