320568 has 48 divisors (see below), whose sum is σ = 868680. Its totient is φ = 98496.

The previous prime is 320563. The next prime is 320591. The reversal of 320568 is 865023.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 320568.

It is not an unprimeable number, because it can be changed into a prime (320561) by changing a digit.

320568 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 11 ways as a sum of consecutive naturals, for example, 8646 + ... + 8682.

2³²⁰⁵⁶⁸ is an apocalyptic number.

320568 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434340).

320568 is an abundant number, since it is smaller than the sum of its proper divisors (548112).

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

320568 is a wasteful number, since it uses less digits than its factorization.

320568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 320568 is about 566.1872481786. The cubic root of 320568 is about 68.4394833770.

It can be divided in two parts, 320 and 568, that added together give a palindrome (888).

The spelling of 320568 in words is "three hundred twenty thousand, five hundred sixty-eight".