8224000 has 72 divisors (see below), whose sum is σ = 20566728. Its totient is φ = 3276800.

The previous prime is 8223997. The next prime is 8224031. The reversal of 8224000 is 4228.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 8111104 = 336^2 + 2848^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31872 + ... + 32128.

It is an arithmetic number, because the mean of its divisors is an integer number (285649).

Almost surely, 2^8224000 is an apocalyptic number.

8224000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283364).

8224000 is an abundant number, since it is smaller than the sum of its proper divisors (12342728).

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

8224000 is an equidigital number, since it uses as much as digits as its factorization.

8224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 8224000 is about 2867.7517326296. The cubic root of 8224000 is about 201.8495104996.

Adding to 8224000 its reverse (4228), we get a palindrome (8228228).

The spelling of 8224000 in words is "eight million, two hundred twenty-four thousand".