The receiver (acquired at a garage sale) is housed in a wooden cabinet and covers three bands.
Tubes employed: 6A7, 6K7GT, 75, 6F6G, 6C5G and 84.
Silvertone radios are also referred to as Sears-Roebuck radios.

Unfortunately, the model identification on the back of my radio is not readable.
Several Silvertone models have the abovementioned tube set: models 1904, 1904A, 1906, 1908, 1911, 1914, 1938, 1954, 1964, 1964A and 1984. However, several of these models have a different cabinet than my radio (judging from pictures from various sources, like books and the internet). For this reason I have to drop models 1904, 1906, 1908, 1911, 1914, 1938 and 1984. Consequently models 1904A, 1954, 1964 and 1964A are left. 

The webmaster of the Silvertone Gallery at  http://www.sfhobbies.com/sfhobbies/radio/index.jsp confirmed me that I own model 1954.

I was kindly notified that the knobs at my radio are not the original ones. In the meantime, however,  I found two small original wooden knobs for the lower row in a store in San Diego.  Now I am searching for two somewhat larger knobs for the upper row.