23 × 5 × 72
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 49, 56, 70, 98, 140, 196, 245, 280, 392, 490, 980 and 1960
No.
Its nearest Fibonacci number neighbors are 1597 and 2584.