327864 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 103392.

The previous prime is 327853. The next prime is 327869. The reversal of 327864 is 468723.

It is a d-powerful number, because it can be written as 3¹¹ + 2¹⁵ + 8 + 7⁶ + 6² + 4⁴ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 327864.

It is not an unprimeable number, because it can be changed into a prime (327869) by changing a digit.

327864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2³²⁷⁸⁶⁴ 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 327864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

327864 is an abundant number, since it is smaller than the sum of its proper divisors (536136).

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

327864 is a wasteful number, since it uses less digits than its factorization.

327864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 327864 is about 572.5940970705. The cubic root of 327864 is about 68.9548118326.

The spelling of 327864 in words is "three hundred twenty-seven thousand, eight hundred sixty-four".