9633968 has 20 divisors (see below), whose sum is σ = 19764360. Its totient is φ = 4533504.

The previous prime is 9633961. The next prime is 9633973. The reversal of 9633968 is 8693369.

It is a d-powerful number, because it can be written as 9⁷ + 6⁵ + 3³ + 3⁹ + 9⁷ + 6⁵ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9633961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17438 + ... + 17981.

It is an arithmetic number, because the mean of its divisors is an integer number (988218).

Almost surely, 2^9633968 is an apocalyptic number.

It is an amenable number.

9633968 is an abundant number, since it is smaller than the sum of its proper divisors (10130392).

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

9633968 is a wasteful number, since it uses less digits than its factorization.

9633968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35444 (or 35438 counting only the distinct ones).

The product of its digits is 209952, while the sum is 44.

The square root of 9633968 is about 3103.8633990561. The cubic root of 9633968 is about 212.7820881149.

It can be divided in two parts, 9633 and 968, that added together give a palindrome (10601).

The spelling of 9633968 in words is "nine million, six hundred thirty-three thousand, nine hundred sixty-eight".