8002224 has 60 divisors (see below), whose sum is σ = 22787232. Its totient is φ = 2620800.

The previous prime is 8002219. The next prime is 8002243. The reversal of 8002224 is 4222008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8002197 and 8002206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8329 + ... + 9239.

Almost surely, 2^8002224 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 8002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393616).

8002224 is an abundant number, since it is smaller than the sum of its proper divisors (14785008).

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

8002224 is a wasteful number, since it uses less digits than its factorization.

8002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8002224 is about 2828.8202487963. The cubic root of 8002224 is about 200.0185316162.

The spelling of 8002224 in words is "eight million, two thousand, two hundred twenty-four".