8221600 has 72 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 3198720.

The previous prime is 8221597. The next prime is 8221621. The reversal of 8221600 is 61228.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 34281 + ... + 34519.

It is an arithmetic number, because the mean of its divisors is an integer number (286440).

Almost surely, 2^8221600 is an apocalyptic number.

8221600 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 8221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

8221600 is an abundant number, since it is smaller than the sum of its proper divisors (12402080).

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

8221600 is a wasteful number, since it uses less digits than its factorization.

8221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8221600 is about 2867.3332558320. Note that the first 3 decimals coincide. The cubic root of 8221600 is about 201.8298734228.

Adding to 8221600 its reverse (61228), we get a palindrome (8282828).

The spelling of 8221600 in words is "eight million, two hundred twenty-one thousand, six hundred".