320320 has 112 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 92160.

The previous prime is 320317. The next prime is 320329. The reversal of 320320 is 23023.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 320297 and 320306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24634 + ... + 24646.

It is an arithmetic number, because the mean of its divisors is an integer number (9144).

2³²⁰³²⁰ 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 320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

320320 is an abundant number, since it is smaller than the sum of its proper divisors (703808).

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

320320 is a wasteful number, since it uses less digits than its factorization.

320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 320320 is about 565.9681969864. The cubic root of 320320 is about 68.4218299507.

Adding to 320320 its product of nonzero digits (36), we get a square (320356 = 566²).

Adding to 320320 its reverse (23023), we get a palindrome (343343).

It can be divided in two parts, 3203 and 20, that added together give a palindrome (3223).

The spelling of 320320 in words is "three hundred twenty thousand, three hundred twenty", and thus it is an iban number.