Egyptian President acknowledges calls for change but maintains that order must prevail in his first public statement since massive protests began four days ago.
Others around the city looted banks, smashed cars, tore down street signs and pelted armored riot police vehicles with paving stones torn from roadways.
Young men in one downtown square clambered onto a statue of Talat Harb, a pioneering Egyptian economist, and unfurled a large green banner that proclaimed "The Middle Class" in white Arabic lettering.
The crowd included Christian men with keyrings of the cross swinging from their pockets and young men dressed in fast-food restaurant uniforms.
When a man sporting a long beard and a white robe began chanting an Islamist slogan, he was grabbed and shaken by another protester telling him to keep the slogans patriotic and not religious.
Protesters appeared unfazed by the absence of Nobel Peace laureate Mohamed ElBaradei, one of the country's leading pro-democracy advocates. The former head of the International Atomic Energy Agency was soaked with a water cannon as protests erupted after Friday, and then prevented by police from leaving after he returned to his home.
Mubarak has not said yet whether he will stand for another six-year term as president in elections this year. He has never appointed a deputy and is thought to be grooming his son Gamal to succeed him despite popular opposition. According to leaked U.S. memos, hereditary succession also does not meet with the approval of the powerful military.