8284224 has 56 divisors (see below), whose sum is σ = 23611840. Its totient is φ = 2548224.

The previous prime is 8284217. The next prime is 8284229. The reversal of 8284224 is 4224828.

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

It is a junction number, because it is equal to n+sod(n) for n = 8284191 and 8284200.

It is not an unprimeable number, because it can be changed into a prime (8284229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837 + ... + 4155.

It is an arithmetic number, because the mean of its divisors is an integer number (421640).

Almost surely, 2^8284224 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 8284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11805920).

8284224 is an abundant number, since it is smaller than the sum of its proper divisors (15327616).

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

8284224 is a wasteful number, since it uses less digits than its factorization.

8284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3337 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 8284224 is about 2878.2327911411. The cubic root of 8284224 is about 202.3410244417.

The spelling of 8284224 in words is "eight million, two hundred eighty-four thousand, two hundred twenty-four".