9636 has 24 divisors (see below), whose sum is σ = 24864. Its totient is φ = 2880.

The previous prime is 9631. The next prime is 9643. The reversal of 9636 is 6369.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (9631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (1036).

2⁹⁶³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432).

9636 is an abundant number, since it is smaller than the sum of its proper divisors (15228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9636 is a wasteful number, since it uses less digits than its factorization.

9636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 89 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 9636 is about 98.1631295345. The cubic root of 9636 is about 21.2797047088.

It can be divided in two parts, 963 and 6, that multiplied together give a triangular number (5778 = T₁₀₇).

The spelling of 9636 in words is "nine thousand, six hundred thirty-six".