The number 684 is an integer that follows 683 and precedes 685. It is an even number, meaning it is divisible by 2 without a remainder. In terms of its prime factorization, 684 can be expressed as 2 × 2 × 3 × 57, or more simply, 2² × 3 × 57. In the context of mathematics, 684 can also be represented in various numeral systems. For example, in Roman numerals, it is written as DCLXXXIV. Additionally, in binary, it is represented as 1010101100, showcasing its versatility across different mathematical frameworks.