8209344 has 168 divisors, whose sum is σ = 26773632. Its totient is φ = 2196480.

The previous prime is 8209343. The next prime is 8209363. The reversal of 8209344 is 4439028.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8209343) 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, 356917 + ... + 356939.

Almost surely, 2^8209344 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 8209344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386816).

8209344 is an abundant number, since it is smaller than the sum of its proper divisors (18564288).

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

8209344 is a wasteful number, since it uses less digits than its factorization.

8209344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 8209344 is about 2865.1952813028. The cubic root of 8209344 is about 201.7295337850.

The spelling of 8209344 in words is "eight million, two hundred nine thousand, three hundred forty-four".