6643296 has 120 divisors (see below), whose sum is σ = 21405384. Its totient is φ = 2004480.

The previous prime is 6643289. The next prime is 6643303. The reversal of 6643296 is 6923466.

6643296 is a `hidden beast` number, since 6 + 643 + 2 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6643289) and next prime (6643303).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 6³ + 6⁴ + 4 + 3¹¹ + 2¹¹ + 9⁷ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 6643296.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 28396 + ... + 28628.

Almost surely, 2^6643296 is an apocalyptic number.

6643296 is a gapful number since it is divisible by the number (66) 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 6643296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702692).

6643296 is an abundant number, since it is smaller than the sum of its proper divisors (14762088).

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

6643296 is a wasteful number, since it uses less digits than its factorization.

6643296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 6643296 is about 2577.4592140323. The cubic root of 6643296 is about 187.9870218897.

The spelling of 6643296 in words is "six million, six hundred forty-three thousand, two hundred ninety-six".