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congruent n.  and  Zumkeller n.

First numbers that belong to both sets:

6, 20, 24, 28, 30, 54, 56, 60, 70, 78, 80, 84, 88, 96, 102, 112, 120, 126, 138, 150, 156, 174, 180, 198, 208, 210, 216, 220, 222, 224, 240, 246, 252, 260, 270, 276, 280, 294, 306, 308, 312, 318, 320, 330, 336, 340, 342, 348, 350, 352, 366, 368, 372, 380, 384, 390, 408, 414, 426, 438, 440, 444, 448, 462, 464, 468, 476, 480, 486, 496, 500, 504, 510, 532, 534, 540, 544, 546, 550, 552, 558, 564, 572, 580, 582, 600, 606, 608, 616, 624, 630, 636, 644, 654, 660, 678, 696, 700, 702, 720, 726, 728, 732, 736, 750, 756, 760, 792, 798, 820, 822, 828, 832, 840, 852, 860, 864, 870, 876, 880, 888, 894, 896, 910, 918, 920, 924, 942, 948, 952, 960, 966, 980, 984, 990, 992, 1008, 1014, 1020, 1038, 1040, 1044, 1060, 1080, 1086, 1104, 1110, 1116, 1120, 1122, 1134, 1140, 1144, 1146, 1148, 1158, 1164, 1176, 1180, 1182, 1190, 1204, 1212, 1224, 1230, 1232, 1236, 1240, 1242, 1248, 1254, 1272, 1280, 1300, 1302, 1308, 1320, 1326, 1330, 1332, 1340, 1344, 1350, 1360, 1368, 1372, 1374, 1376, 1386, 1392, 1398, 1400, 1404, 1408, 1428, 1430, 1434, 1446, 1460, 1464, 1470, 1472, 1476, 1482, 1484, 1488, 1496, 1500, 1504, 1518, 1520, 1524, 1536, 1542, 1560, 1566, 1575, 1580, 1590, 1596, 1610, 1614, 1620, 1624, 1632, 1638, 1640, 1652, 1656, 1660, 1662, 1686, 1692, 1704, 1710, 1716, 1720, 1734, 1736, 1750, 1752, 1758, 1760, 1768, 1770, 1776, 1780, 1782, 1788, 1792, 1794, 1806, 1812, 1820, 1830, 1848, 1856, 1860, 1870, 1872, 1876, 1878, 1880, 1884, 1888, 1890, 1902, 1904, 1908, 1920, 1940, 1944, 1950, 1974, 1976, 1980, 1984, 1998, 2000, 2004.

Some larger examples :