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apocalyptic n.  and  Harshad n.

First numbers that belong to both sets:

192, 220, 222, 224, 243, 247, 285, 312, 506, 540, 612, 624, 648, 660, 666, 684, 700, 702, 704, 720, 800, 820, 828, 840, 846, 864, 882, 972, 1002, 1026, 1040, 1056, 1062, 1080, 1088, 1090, 1092, 1128, 1140, 1141, 1160, 1164, 1170, 1200, 1212, 1224, 1230, 1232, 1270, 1272, 1304, 1305, 1310, 1341, 1394, 1413, 1416, 1422, 1452, 1494, 1503, 1524, 1560, 1584, 1590, 1596, 1611, 1630, 1638, 1651, 1652, 1656, 1674, 1679, 1692, 1701, 1744, 1785, 1800, 1812, 1853, 1860, 1896, 1944, 1968, 1980, 2000, 2001, 2004, 2007, 2024, 2025, 2034, 2043, 2052, 2064, 2070, 2115, 2120, 2130, 2133, 2160, 2170, 2200, 2202, 2210, 2212, 2214, 2223, 2240, 2250, 2260, 2265, 2286, 2300, 2304, 2310, 2316, 2322, 2331, 2340, 2352, 2353, 2358, 2398, 2401, 2403, 2430, 2445, 2448, 2460, 2464, 2466, 2470, 2490, 2511, 2530, 2532, 2574, 2604, 2608, 2610, 2618, 2620, 2628, 2646, 2682, 2700, 2704, 2710, 2718, 2736, 2755, 2760, 2793, 2794, 2808, 2820, 2821, 2826, 2844, 2862, 2880, 2912, 2924, 2926, 2934, 2940, 2952, 2982, 2992, 3000, 3012, 3024, 3031, 3032, 3033, 3038, 3042, 3055, 3072, 3075, 3078, 3080, 3096, 3100, 3108, 3110, 3120, 3132, 3141, 3144, 3150, 3160, 3164, 3165, 3184, 3186, 3210, 3213, 3231, 3250, 3258, 3268, 3276, 3294, 3297, 3300, 3303, 3312, 3320, 3321, 3324, 3330, 3340, 3348, 3366, 3383, 3384, 3388, 3390, 3402, 3416, 3430, 3432, 3439, 3480, 3486, 3492, 3501, 3504, 3520, 3523, 3525, 3528, 3536, 3540, 3542, 3546, 3586, 3610, 3612, 3615, 3616, 3654, 3672, 3675, 3690, 3696, 3699, 3705, 3708, 3738, 3744, 3749, 3750, 3762, 3768, 3781, 3784, 3816, 3840, 3842, 3864, 3888, 3900, 3904, 3906, 3920, 3924, 3927, 3930, 3942, 3952, 3956, 3960, 3969, 3980, 3982, 3996.

Some larger examples :