8041344 has 64 divisors (see below), whose sum is σ = 21901440. Its totient is φ = 2612736.

The previous prime is 8041333. The next prime is 8041379. The reversal of 8041344 is 4431408.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 16269 + ... + 16755.

It is an arithmetic number, because the mean of its divisors is an integer number (342210).

Almost surely, 2^8041344 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 8041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10950720).

8041344 is an abundant number, since it is smaller than the sum of its proper divisors (13860096).

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

8041344 is a wasteful number, since it uses less digits than its factorization.

8041344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 8041344 is about 2835.7263619750. The cubic root of 8041344 is about 200.3439415154.

It can be divided in two parts, 8041 and 344, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 8041344 in words is "eight million, forty-one thousand, three hundred forty-four".