23616

23616 is a natural number following 23615 and preceding 23617. It is an even composite integer with prime factorization 2^6 × 3^2 × 41. From this factorization it has (6+1)(2+1)(1+1) = 42 positive divisors and an arithmetic sum of divisors equal to 69,342; the sum of proper divisors is 45,726, making 23616 an abundant number.

Arithmetic and digital properties include divisibility by 9 and 18 (its digits sum to 18), divisibility by 64, and representation in hexadecimal as 0x5C40 and in binary as 0101110001000000. Euler’s totient function yields φ(23616) = 7,680. The number is not a perfect square or triangular number. As a base-10 Harshad number, it is divisible by the sum of its digits.

Beyond pure mathematics, the sequence of digits 23616 is used as an identifier in various cataloging and coding systems, such as postal ZIP codes and product or record numbers; specific assignments vary by country and context. In mathematical literature and databases, 23616 appears in lists of integers with the properties noted above and can serve as an illustrative example in discussions of divisor functions, multiplicative arithmetic functions, and abundance.