22 × 33 × 19
1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026 and 2052
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.