90360

90360 is a natural number that sits between 90359 and 90361. In number theory, it has a prime factorization of 2^3 × 3^2 × 5 × 251, which makes it a composite number with 48 positive divisors.

The sum of all positive divisors of 90360 is 294,840, so the sum of its proper divisors equals 204,480. Because this sum exceeds the number itself, 90360 is classified as an abundant number, with an abundance of 114,120. It is also an even number and is divisible by several small integers; for example, 90360 is divisible by 8, 9, 36, and 72 (90360/72 = 1255).

In decimal representation, the digits of 90360 sum to 9 (9 + 0 + 3 + 6 + 0 = 18, and 1 + 8 = 9), and the number is divisible by this digit sum (90360 ÷ 18 = 5020), making it a Harshad (Niven) number in base 10. Its digital root is 9.

Beyond mathematics, the sequence of digits and the numeral 90360 may appear in other contexts, such as designations like ZIP codes or catalog numbers, but in mathematical terms 90360 is notable for its factorization, divisor count, and classification as an abundant, even number.