jsc is right, your mobo is probably giving your E8400 to much voltage, you'd be much better off setting it maually.
60C is fine if thats the temp under stress testing using Prime 95 or OCCT. I wouldn't go past 68C just to be safe.
That cooler you have isn't amazing, If you want better cooling have a look at a Tuniq tower 120 http://www.newegg.ca/Product/Product.aspx?Item=N82E16835154001
Or a thermalright ultra 120 extreme OR a Prolimatech Megahalems