The official number is about 150, but there have been some non-official tests that came up with the higher number:
http://forum.lowyat.net/topic/848374
http://www.broadbandreports.com/forum/r18636963-Tomshardware-updates-DIR655-Benchmark-Results
Official test: http://www.smallnetbuilder.com/component/option,com_chart/Itemid,189/chart,124
(test program was limited on 200 connections because of the license)