9733968 has 60 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3102528.

The previous prime is 9733963. The next prime is 9733973. The reversal of 9733968 is 8693379.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9733963) and next prime (9733973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9733963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1843 + ... + 4781.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^9733968 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 9733968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

9733968 is an abundant number, since it is smaller than the sum of its proper divisors (18701712).

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

9733968 is a wasteful number, since it uses less digits than its factorization.

9733968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2967 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 9733968 is about 3119.9307684627. The cubic root of 9733968 is about 213.5157770884.

It can be divided in two parts, 9733 and 968, that added together give a palindrome (10701).

The spelling of 9733968 in words is "nine million, seven hundred thirty-three thousand, nine hundred sixty-eight".