Of the total, 463 are allowed to climb Mount Ama Dablam, 308 for Mount Manaslu and 144 for Mount Himlung Himal.
The mountaineers, which include 289 females, are from 73 countries and regions, Xinhua news agency reported.
"We are still receiving a few enquiries. The number will increase slightly in the coming weeks," Rakesh Gurung, Director at the department.
Nepal has earned $575,253 in royalty by issuing the permits.
The fall climbing season in Nepal starts in September and runs until November.