The figure compared with a pre-sale estimate of between 20 and 30 million pounds.

The 1966 work is a square acrylic painting showing the moment water splashes up in a swimming pool just after a diver enters.

The 82-year-old British artist painted it when he lived in Los Angeles, where his long-running interest in swimming pool subjects began.

The composition of The Splash, including the angled diving board, was inspired by a photograph Hockney saw in a Hollywood magazine on how to build swimming pools.

"I loved the idea of painting this thing that lasts for two seconds; it takes me two weeks to paint this event that lasts for two seconds," he said of the painting in 1976 book, Hockney by Hockney.

It is the second in a series of three splash paintings.

A Little Splash is in a private collection, while A Bigger Splash is in London's Tate Britain gallery.

The last time this picture was sold at auction, in 2006, it went for $5.6 million.

"It's an icon of Pop that defined an era and also gave a visual identity to LA," said Emma Baker, head of Sotheby's contemporary art evening sale.

In 2018, Hockney's Portrait of an Artist (Pool with Two Figures) from 1972 sold for $134.5 million at Christie's in New York, smashing the record for the highest price paid at auction for a work by a living artist.