%N Cubes for which the product of the digits is a square.
%C Any cube with a zero digit is a term of this sequence. Of the first 10,000 terms, only 331 have no zero digits. The largest such zero-free cube in the first 10,000 terms is 2956841564977. - _Harvey P. Dale_, Aug 22 2021
%H Harvey P. Dale, <a href="/A117689/b117689.txt">Table of n, a(n) for n = 0..10000</a>
%e 19683 is in the sequence because it is a cube and the product of its digits 1*9*6*8*3=1296 is a square.
%t Select[Range[0,100]^3,IntegerQ[Sqrt[Times@@IntegerDigits[#]]]&] (* _Harvey P. Dale_, Aug 22 2021 *)
%Y Cf. A000290, A000578.
%A Luc Stevens (lms022(AT)yahoo.com), Apr 12 2006