8220320 has 48 divisors (see below), whose sum is σ = 19686240. Its totient is φ = 3243264.

The previous prime is 8220313. The next prime is 8220337. The reversal of 8220320 is 230228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12971 + ... + 13589.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^8220320 is an apocalyptic number.

8220320 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 8220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843120).

8220320 is an abundant number, since it is smaller than the sum of its proper divisors (11465920).

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

8220320 is a wasteful number, since it uses less digits than its factorization.

8220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 8220320 is about 2867.1100432317. The cubic root of 8220320 is about 201.8193987526.

Adding to 8220320 its reverse (230228), we get a palindrome (8450548).

It can be divided in two parts, 82 and 20320, that added together give a palindrome (20402).

The spelling of 8220320 in words is "eight million, two hundred twenty thousand, three hundred twenty".