8320 has 32 divisors (see below), whose sum is σ = 21420. Its totient is φ = 3072.

The previous prime is 8317. The next prime is 8329. The reversal of 8320 is 238.

8320 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 576 = 88^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8320.

It is not an unprimeable number, because it can be changed into a prime (8329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 634 + ... + 646.

2⁸³²⁰ is an apocalyptic number.

8320 is a gapful number since it is divisible by the number (80) 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 8320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710).

8320 is an abundant number, since it is smaller than the sum of its proper divisors (13100).

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

8320 is a wasteful number, since it uses less digits than its factorization.

8320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 8320 is about 91.2140340079. The cubic root of 8320 is about 20.2631880764.

Adding to 8320 its reverse (238), we get a palindrome (8558).

The spelling of 8320 in words is "eight thousand, three hundred twenty".