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evil n.  and  taxicab n.

First numbers that belong to both sets:

4104, 32832, 39312, 46683, 64232, 110808, 171288, 216027, 216125, 262656, 314496, 327763, 373464, 402597, 439101, 513000, 513856, 515375, 558441, 684019, 842751, 886464, 920673, 955016, 1061424, 1073375, 1080891, 1260441, 1370304, 1407672, 1728216, 1729000, 1734264, 2101248, 2301299, 2515968, 2585375, 2622104, 2864288, 2987712, 3220776, 3242197, 3512808, 3798613, 3813992, 4033503, 4104000, 4110848, 4123000, 4174281, 4342914, 4467528, 4505949, 4624776, 4914000, 5287707, 5318677, 5472152, 5772403, 5799339, 5835375, 6017193, 6230504, 6434883, 6742008, 7091712, 7365384, 7620661, 7640128, 8029000, 8275176, 8491392, 8493039, 8494577, 8587000, 8647128, 8849601, 9261729, 10036845, 10083528, 10202696, 10702783, 10811017, 10962432, 11261376, 11478584, 11548089, 11557000, 11855727, 12753160, 13484016, 13490533, 13623913, 13731319, 13825728, 13832000, 13874112, 13915125, 14978061, 15077907, 15187041, 15201368, 15398936, 15682680, 16797375, 16809984, 17045567, 18410392, 18468513, 18617625, 18673625, 19034379, 19250163, 20072017, 20127744, 20683000, 20976832, 21036743, 21125384, 21411000, 22031576, 22426369, 22543417, 22544704, 22914304, 23901696, 24666560, 24858171, 25766208, 25937576, 26122131, 26569809, 26856576, 27003375, 27262872, 27529073, 27831951, 27882127, 28102464, 28149336, 28981125, 30388904, 30511936, 31256000, 32268024, 32530680, 32832000, 32886784, 32973759, 32984000, 33108264, 33394248, 34031907, 34743312, 35740224, 36047592, 36050904, 36998208, 38007144, 38253878, 39312000, 39639691, 40183262, 41301953, 41343640, 41400639, 41436873, 41892515, 42154840, 42168581, 42276843, 42301656, 42549416, 43777216, 43997625, 44409995, 46091997, 46179224, 46343059, 46394712, 46683000, 46825128, 48137544, 48316662, 49844032, 49849856, 50324625, 51278929, 51479064, 51508639, 52324272, 53283923, 53936064, 54267003, 54269091, 55306557, 56388339, 56733696, 57066633, 58438072, 58923072, 60698521, 60965288, 61121024, 61568208, 62135073, 64125000, 64232000, 65272753, 66201408, 66763333, 67173463, 67931136, 67944312, 67956616, 68696000, 69177024, 70796808, 71509312, 72669177, 73369088, 73842713, 74093832, 77129864, 77335776, 79598125, 80102574, 80208576, 80294760, 80668224, 81621568, 85622264, 86316741, 86488136, 87483968, 87579037, 87699456, 87952501, 88122125, 88129323, 90091008, 91828672, 92384712, 92456000, 94820544, 94845816, 95547816, 96753187, 100092456, 100711000, 101194704, 101700872, 102025280, 102562551, 102977784, 104212017, 105343875, 105997327, 106243219, 107872128, 107924264, 108991304, 109850552, 110605824, 110656000, 110992896, 111321000, 112705587, 114103808, 116773741, 117132750, 117258678, 118129375, 119164409, 119824488, 120623256, 121287376, 121496328, 121610944, 121818816.

Some larger examples :