8226816 has 96 divisors (see below), whose sum is σ = 23849280. Its totient is φ = 2506752.

The previous prime is 8226809. The next prime is 8226821. The reversal of 8226816 is 6186228.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79821 + ... + 79923.

It is an arithmetic number, because the mean of its divisors is an integer number (248430).

Almost surely, 2^8226816 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 8226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924640).

8226816 is an abundant number, since it is smaller than the sum of its proper divisors (15622464).

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

8226816 is a wasteful number, since it uses less digits than its factorization.

8226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 8226816 is about 2868.2426675580. The cubic root of 8226816 is about 201.8725464657.

It can be divided in two parts, 82 and 26816, that multiplied together give a palindrome (2198912).

The spelling of 8226816 in words is "eight million, two hundred twenty-six thousand, eight hundred sixteen".