6643224 has 96 divisors (see below), whose sum is σ = 21060000. Its totient is φ = 1891008.

The previous prime is 6643213. The next prime is 6643229. The reversal of 6643224 is 4223466.

It is a super-2 number, since 2×6643224² = 88264850228352, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6643229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24562 + ... + 24830.

It is an arithmetic number, because the mean of its divisors is an integer number (219375).

Almost surely, 2^6643224 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 6643224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530000).

6643224 is an abundant number, since it is smaller than the sum of its proper divisors (14416776).

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

6643224 is a wasteful number, since it uses less digits than its factorization.

6643224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 6643224 is about 2577.4452467511. The cubic root of 6643224 is about 187.9863427532.

The spelling of 6643224 in words is "six million, six hundred forty-three thousand, two hundred twenty-four".