MOSCOW — At least 64 people died when a fire burned through a shopping mall in the Siberian city of Kemerovo on Sunday, the Russian authorities said Monday.

Many of the victims were children, and at least 16 people were still missing after the blaze in the industrial city of about half a million people, over 2,000 miles east of Moscow, the authorities said reported Monday. The missing had little chance of survival, officials said.

The fire started around 5 p.m. on the fourth floor of the mall, which includes a three-screen cinema complex, a skating rink and an entertainment center for children.

Speaking to the relatives of the missing, Vladimir Chernov, a deputy governor of the Kemerovo region, said the fire had started in the children’s entertainment room, where there was a trampoline with foam rubber.