We study the stabilizibility of the divisible sandpile model on $\mathbb{Z}^d$. We show that an i.i.d. initial configuration on $\mathbb{Z}^d$ with mean $1$ is almost surely not stabilizable. On a finite connected graph with $n$ vertices with i.i.d. Gaussian initial state conditioned to have total mass $n$, we show that the distribution of the odometer function equals that of $u - \min u$, where $u$ is a Gaussian field with covariance \[ \text{Cov}(u_x, u_y) = \sum_{z} g(x,z) g(y,z) \] and $g$ is Green's function killed on hitting a fixed point $z_0$. This is joint work with Lionel Levine, Mathav Murugan and Yuval Peres.