| Centuries: | 6th century · 7th century · 8th century |
| Decades: | 620s 630s 640s 650s 660s 670s 680s |
| Years: | 653 654 655 656 657 658 659 |
| 656 by topic | |
| Politics | |
| State leaders – Sovereign states | |
| Birth and death categories | |
| Births – Deaths | |
| Establishment and disestablishment categories | |
| Establishments – Disestablishments | |
| Gregorian calendar | 656 DCLVI |
| Ab urbe condita | 1409 |
| Armenian calendar | 105 ԹՎ ՃԵ |
| Bahá'í calendar | -1188 – -1187 |
| Bengali calendar | 63 |
| Berber calendar | 1606 |
| Buddhist calendar | 1200 |
| Burmese calendar | 18 |
| Byzantine calendar | 6164 – 6165 |
| Chinese calendar | 乙卯年十一月廿九日 (3292/3352-11-29) — to —
丙辰年十二月初十日(3293/3353-12-10) |
| Coptic calendar | 372 – 373 |
| Ethiopian calendar | 648 – 649 |
| Hebrew calendar | 4416 – 4417 |
| Hindu calendars | |
| - Bikram Samwat | 712 – 713 |
| - Shaka Samvat | 578 – 579 |
| - Kali Yuga | 3757 – 3758 |
| Holocene calendar | 10656 |
| Iranian calendar | 34 – 35 |
| Islamic calendar | 35 – 36 |
| Japanese calendar | |
| Korean calendar | 2989 |
| Thai solar calendar | 1199 |
656 was a leap year of the 7th century.