9823968 has 144 divisors (see below), whose sum is σ = 34909056. Its totient is φ = 2545920.

The previous prime is 9823939. The next prime is 9823973. The reversal of 9823968 is 8693289.

9823968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21955 + ... + 22397.

It is an arithmetic number, because the mean of its divisors is an integer number (242424).

Almost surely, 2^9823968 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 9823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454528).

9823968 is an abundant number, since it is smaller than the sum of its proper divisors (25085088).

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

9823968 is a wasteful number, since it uses less digits than its factorization.

9823968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 9823968 is about 3134.3209790958. The cubic root of 9823968 is about 214.1718129915.

It can be divided in two parts, 982 and 3968, that added together give a triangular number (4950 = T₉₉).

The spelling of 9823968 in words is "nine million, eight hundred twenty-three thousand, nine hundred sixty-eight".