What does CMLXIV mean?

CMLXIV is the Roman numeral for 964 — 900 + 50 + 10 + 4.

How do you write 964 in Roman numerals?

Take the largest value that fits and repeat until nothing is left: CM (900), then L (50), then X (10), then IV (4). That gives CMLXIV.

964 in Roman numerals

CMLXIV

Number (1–3,999 for numerals)

Roman numeral

964 is written CMLXIV in Roman numerals. That is 4 symbol groups added together, reading left to right from the largest value down.

How it breaks down

CMLXIV = 900 + 50 + 10 + 4 = 964
Group	Value	Subtraction	Running total
CM	900	M − C	900
L	50	—	950
X	10	—	960
IV	4	V − I	964

Why the smaller symbol comes first

CMLXIV uses subtractive notation in 2 places: CM means M minus C, or 900; IV means V minus I, or 4. A smaller symbol placed before a larger one is subtracted from it rather than added, which is why IX is nine and not eleven.

Only six such pairs are valid — IV, IX, XL, XC, CD and CM. That restriction is what makes the notation unambiguous: IIII and IC both look like they should work, but neither is standard, and only one spelling of any number is correct.

The symbols

Symbol	Value	Used here
I	1	yes — 1×
V	5	yes — 1×
X	10	yes — 1×
L	50	yes — 1×
C	100	yes — 1×
D	500	no
M	1,000	yes — 1×

The same number, other ways

In words: Nine hundred sixty-four
Roman numeral: CMLXIV
Symbol count: 6 characters
Binary: 1111000100
Hexadecimal: 3C4

The numbers either side

Number	Roman numeral
962	CMLXII
963	CMLXIII
964	CMLXIV ←
965	CMLXV
966	CMLXVI

Common questions

What is 964 in Roman numerals?: 964 is CMLXIV.
What does CMLXIV mean?: CMLXIV is the Roman numeral for 964 — 900 + 50 + 10 + 4.
How do you write 964 in Roman numerals?: Take the largest value that fits and repeat until nothing is left: CM (900), then L (50), then X (10), then IV (4). That gives CMLXIV.

Sources

Calculated on this page — At One Place

How these figures are compiled and checked