Apple (AAPL) on Monday issued the following press release:

CUPERTINO, California—October 10, 2011—Apple® today announced pre-orders of its iPhone® 4S have topped one million in a single day, surpassing the previous single day pre-order record of 600,000 held by iPhone 4. iPhone 4S is the most amazing iPhone yet, packed with incredible new features including Apple’s dual-core A5 chip for blazing fast performance and stunning graphics; an all new camera with advanced optics; full 1080p HD resolution video recording; and Siri™, an intelligent assistant that helps you get things done just by asking.

“We are blown away with the incredible customer response to iPhone 4S,” said Philip Schiller, Apple’s senior vice president of Worldwide Product Marketing. “The first day pre-orders for iPhone 4S have been the most for any new product that Apple has ever launched and we are thrilled that customers love iPhone 4S as much as we do.”

That’s a 67% increase over the iPhone 4, although it should be noted that Apple took pre-orders from more carriers and in more countries and in a smartphone market that has grown substantially over the past 16 months.

See: iPhone 4S pre-orders may have topped 500,000 in the U.S. before Apple ran out