A force spokeswoman said: "There would appear to be no suspicious circumstances surrounding his death. However, a post-mortem will be carried out in due course to establish the exact cause of death.
"A full report will be sent to the procurator fiscal."
Mr Glackin was a keen fisherman and walker and was known to frequent the Trossachs, as well as pubs around the Saltmarket, Rutherglen, East Kilbride and the east end of Glasgow.