8220686224 has 45 divisors (see below), whose sum is σ = 16824096273. Its totient is φ = 3890745216.

The previous prime is 8220686213. The next prime is 8220686267. The reversal of 8220686224 is 4226860228.

The square root of 8220686224 is 90668.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4222400400 + 3998285824 = 64980^2 + 63232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6890172 + ... + 6891364.

Almost surely, 2^8220686224 is an apocalyptic number.

8220686224 is the 90668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220686224

8220686224 is an abundant number, since it is smaller than the sum of its proper divisors (8603410049).

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

8220686224 is an equidigital number, since it uses as much as digits as its factorization.

8220686224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The cubic root of 8220686224 is about 2018.2239579772.

The spelling of 8220686224 in words is "eight billion, two hundred twenty million, six hundred eighty-six thousand, two hundred twenty-four".