22 × 33 × 11
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594 and 1188
No.
Its nearest Fibonacci number neighbors are 987 and 1597.