Compute the Euler function $\phi(n)$ for $n = 360$ as well as the number of divisors $d(n)$. Compute the Euler function $\phi(n)$ for $n = 360 $ as well as the number of
divisors $d(n)$.

Is this correct?

$360 = 2^3\cdot 3^2\cdot 5$ thus $\phi(n) = 2^2\cdot 2\cdot 3\cdot 4 = 96$.

$d(n) = 4 \times 3 \times 2 = 24$.
$360 = 2^3\times 3^2\times5$. Since Euler Phi function is multiplicative, $\phi(360)=\phi(8)\times\phi(9)\times\phi(5)=(8-4)\times(9-3)\times4=96.$

Which means you are correct.
You are correct, although note that you're better using \times or \cdot rather than just a space, because in LaTeX (and MathJax) a space will be omitted.