Let A={1,2,3,5,8,9}. Then the number of possible functions f: A → A such that f(m · n)=f(m) · f(n) for every m, n ∈ A with m · n ∈ A is equal to ____.

Let $\displaystyle A=\{1,2,3,5,8,9\}$. Then the number of possible functions $\displaystyle f: A \rightarrow A$ such that $\displaystyle f(m \cdot n)=f(m) \cdot f(n)$ for every $\displaystyle m, n \in A$ with $\displaystyle m \cdot n \in A$ is equal to $\displaystyle \_\_\_\_$.