"This has turned into a full blown phenomenon," Suhr said.
The San Francisco Chronicle planned to distribute special-edition newspapers with the headline, "Batkid Saves City".
The White House sent out a Tweet encouraging Batkid to "Go get 'em!"
The bashful Miles looked overwhelmed by the attention.
The boy's father, Nick Scott, thanked the estimated 7,000 people who were making his son's wish come true.
Miles was diagnosed with leukemia when he was 18-months-old, ended treatments in June and is in remission.
Make-A-Wish has fulfilled similar wishes across the US One child became Batman's sidekick, Robin; and another was a secret agent, said Jen Wilson, a spokeswoman for the local organisation.
"When you have an illness, it's very important to know you have a support system," said one onlooker, Gina Futrell, 51, who has multiple sclerosis. "I have an extremely strong support system, and I hope he does too. He's such a little hero."
- AP