327968 has 24 divisors (see below), whose sum is σ = 665532. Its totient is φ = 158976.

The previous prime is 327967. The next prime is 327979. The reversal of 327968 is 869723.

It can be written as a sum of positive squares in 2 ways, for example, as 327184 + 784 = 572^2 + 28^2 .

Its product of digits (18144) is a multiple of the sum of its prime factors (324).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (327967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1046 + ... + 1322.

2³²⁷⁹⁶⁸ 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 327968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332766).

327968 is an abundant number, since it is smaller than the sum of its proper divisors (337564).

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

327968 is a wasteful number, since it uses less digits than its factorization.

327968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 327968 is about 572.6849046378. The cubic root of 327968 is about 68.9621019918.

It can be divided in two parts, 32 and 7968, that added together give a cube (8000 = 20³).

The spelling of 327968 in words is "three hundred twenty-seven thousand, nine hundred sixty-eight".