8201344 has 32 divisors (see below), whose sum is σ = 17304300. Its totient is φ = 3858432.

The previous prime is 8201341. The next prime is 8201351. The reversal of 8201344 is 4431028.

It can be written as a sum of positive squares in 2 ways, for example, as 7354944 + 846400 = 2712^2 + 920^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8201341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 292 + ... + 4060.

Almost surely, 2^8201344 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 8201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8652150).

8201344 is an abundant number, since it is smaller than the sum of its proper divisors (9102956).

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

8201344 is a wasteful number, since it uses less digits than its factorization.

8201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 8201344 is about 2863.7988756196. The cubic root of 8201344 is about 201.6639840577.

The spelling of 8201344 in words is "eight million, two hundred one thousand, three hundred forty-four".