326304 has 72 divisors (see below), whose sum is σ = 1022112. Its totient is φ = 97920.

The previous prime is 326257. The next prime is 326309. The reversal of 326304 is 403623.

326304 is a `hidden beast` number, since 32 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (326309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3117 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (14196).

2³²⁶³⁰⁴ 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 326304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511056).

326304 is an abundant number, since it is smaller than the sum of its proper divisors (695808).

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

326304 is a wasteful number, since it uses less digits than its factorization.

326304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 326304 is about 571.2302512998. The cubic root of 326304 is about 68.8452739686.

Adding to 326304 its reverse (403623), we get a palindrome (729927).

It can be divided in two parts, 326 and 304, that added together give a triangular number (630 = T₃₅).

The spelling of 326304 in words is "three hundred twenty-six thousand, three hundred four".