8032224 has 48 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 2590080.

The previous prime is 8032223. The next prime is 8032229. The reversal of 8032224 is 4222308.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8032224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8032223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1627 + ... + 4325.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^8032224 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 8032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

8032224 is an abundant number, since it is smaller than the sum of its proper divisors (13740576).

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

8032224 is a wasteful number, since it uses less digits than its factorization.

8032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 8032224 is about 2834.1178521720. The cubic root of 8032224 is about 200.2681735873.

It can be divided in two parts, 8032 and 224, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 8032224 in words is "eight million, thirty-two thousand, two hundred twenty-four".