Teaser 2970: Puzzling powers

From The Sunday Times, 25th August 2019 [link]

I came across a most remarkable number recently and wrote it down. All its digits were different and it was divisible by 11. In itself, that wasn’t particularly interesting, but I wrote down the number of digits in the number and then wrote down the sum of the digits in the number.

I therefore had three numbers written down. What surprised me was that of the three numbers, one was a square and two were cubes.

What is the remarkable number?

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