323568 has 80 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 91584.

The previous prime is 323567. The next prime is 323579. The reversal of 323568 is 865323.

323568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2971 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (13392).

2³²³⁵⁶⁸ 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 323568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

323568 is an abundant number, since it is smaller than the sum of its proper divisors (747792).

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

323568 is a wasteful number, since it uses less digits than its factorization.

323568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 323568 is about 568.8303789356. The cubic root of 323568 is about 68.6523152630.

It can be divided in two parts, 32 and 3568, that added together give a square (3600 = 60²).

The spelling of 323568 in words is "three hundred twenty-three thousand, five hundred sixty-eight".