12636

12636 is a positive integer that sits between 12635 and 12637. It is an even, composite number.

Its prime factorization is 12636 = 2^2 × 3^5 × 13. From this factorization, the number has 36 positive divisors. The sum of all divisors (including the number itself) is 35672, so the sum of proper divisors is 23036. This makes 12636 an abundant number, since the sum of its proper divisors exceeds the number itself.

In decimal form, the digits of 12636 sum to 18, which means the number is a Harshad (Niven) number. It is divisible by 9 (and by 18 and 36 as well): 12636 ÷ 9 = 1404, 12636 ÷ 18 = 702, and 12636 ÷ 36 = 351. More generally, all divisors arising from its factorization include 2, 4, 3, 9, 13, 18, 36, and combinations thereof.

As a natural number, 12636 can appear as a count, index, or identifier in various mathematical datasets and cataloging schemes. It does not represent a prime, a power of a single prime, or a widely noted constant, but its factorization endows it with several standard divisor-related properties.

See also: Abundant number; Harshad number.