8128224 has 108 divisors (see below), whose sum is σ = 25179336. Its totient is φ = 2486016.

The previous prime is 8128217. The next prime is 8128243. The reversal of 8128224 is 4228218.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48589 + ... + 48755.

It is an arithmetic number, because the mean of its divisors is an integer number (233142).

Almost surely, 2^8128224 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 8128224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589668).

8128224 is an abundant number, since it is smaller than the sum of its proper divisors (17051112).

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

8128224 is a wasteful number, since it uses less digits than its factorization.

8128224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 8128224 is about 2851.0040336695. The cubic root of 8128224 is about 201.0628748129.

It can be divided in two parts, 81 and 28224, that multiplied together give a square (2286144 = 1512²).

The spelling of 8128224 in words is "eight million, one hundred twenty-eight thousand, two hundred twenty-four".