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abundant n.  and  palindromic n.

First numbers that belong to both sets:

66, 88, 222, 252, 272, 282, 414, 444, 464, 474, 606, 616, 636, 666, 696, 828, 858, 868, 888, 2002, 2112, 2442, 2552, 2772, 2992, 4004, 4224, 4554, 4664, 4884, 5775, 6006, 6336, 6666, 6776, 6996, 8008, 8118, 8228, 8448, 8778, 8888, 20202, 20502, 20802, 21012, 21112, 21312, 21612, 21712, 21812, 21912, 22022, 22122, 22422, 22722, 23232, 23532, 23632, 23832, 24042, 24342, 24642, 24942, 25152, 25452, 25752, 26262, 26562, 26862, 27072, 27272, 27372, 27472, 27672, 27872, 27972, 28182, 28482, 28782, 29092, 29292, 29392, 29592, 29792, 29892, 40104, 40304, 40404, 40704, 41214, 41514, 41814, 42024, 42224, 42324, 42624, 42924, 43134, 43434, 43734, 44044, 44144, 44244, 44544, 44744, 44844, 45054, 45354, 45654, 45954, 46164, 46464, 46564, 46764, 46864, 47274, 47574, 47874, 48084, 48384, 48684, 48984, 49194, 49494, 49794, 50505, 53235, 55755, 60006, 60306, 60606, 60906, 61116, 61416, 61516, 61716, 62226, 62526, 62826, 63036, 63336, 63536, 63636, 63936, 64146, 64446, 64746, 65056, 65156, 65256, 65556, 65856, 66066, 66366, 66666, 66966, 67176, 67476, 67676, 67776, 68286, 68586, 68886, 69096, 69396, 69496, 69696, 69996, 80108, 80208, 80408, 80508, 80608, 80808, 81018, 81318, 81618, 81918, 82128, 82428, 82628, 82728, 83238, 83538, 83838, 84048, 84348, 84448, 84648, 84948, 85158, 85458, 85758, 86268, 86568, 86768, 86868, 86968, 87078, 87378, 87678, 87978, 88088, 88188, 88288, 88488, 88688, 88788, 89298, 89598, 89898, 171171, 201102, 202202, 204402, 207702, 210012, 211112, 212212, 213312, 215512, 216612, 217712, 219912, 222222, 225522, 228822, 230032, 231132, 232232, 234432, 236632, 237732, 238832, 239932, 240042, 242242, 243342, 246642, 249942, 251152, 252252, 253352, 255552, 256652, 257752, 258852, 259952, 261162, 262262, 264462, 267762, 270072, 272272, 273372, 274472, 276672, 278872, 279972, 282282, 285582, 288882, 290092, 291192, 292292, 293392, 294492, 295592, 297792, 299992, 401104, 402204, 403304, 404404, 405504, 407704, 408804, 409904, 411114.

Some larger examples :