The HP Officejet Pro 8600 Plus is identifiable by its model number: N911g. Released in 2011, the printer can be identified by its brown finish and touchscreen control panel.
I know this is an old thread but I've published a model to MakerWorld that you can print with a 3D printer. Obviously if you don't have access to one there are tons of companies that will print the model on your bahalf. Hope it helps.