8227296 has 216 divisors, whose sum is σ = 30250584. Its totient is φ = 2096640.

The previous prime is 8227291. The next prime is 8227309. The reversal of 8227296 is 6927228.

8227296 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8227296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8227291) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155206 + ... + 155258.

It is an arithmetic number, because the mean of its divisors is an integer number (140049).

Almost surely, 2^8227296 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 8227296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125292).

8227296 is an abundant number, since it is smaller than the sum of its proper divisors (22023288).

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

8227296 is a wasteful number, since it uses less digits than its factorization.

8227296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 8227296 is about 2868.3263412659. The cubic root of 8227296 is about 201.8764725265.

It can be divided in two parts, 822 and 7296, that added together give a palindrome (8118).

The spelling of 8227296 in words is "eight million, two hundred twenty-seven thousand, two hundred ninety-six".