In 8 B.C. Augustus had the Roman month of Sextilius renamed after himself—as his great-uncle and predecessor Julius Caesar had done with July. August was the month of several of the emperor’s greatest victories, including the defeat and suicide of Antony and Cleopatra. He did not increase the month’s length, which had been 31 days since the establishment of the Julian calendar in 45 B.C.
https://www.history.com/articles/emperor-augustus
https://www.thecollector.com/augustus-transforms-rome-empire

Augustus of Prima Porta, 1st century BCE, via Musei Vaticani