9724768 has 48 divisors (see below), whose sum is σ = 20363616. Its totient is φ = 4561920.

The previous prime is 9724733. The next prime is 9724769. The reversal of 9724768 is 8674279.

It is a super-2 number, since 2×9724768² = 189142225307648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9724769) 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, 53638 + ... + 53818.

It is an arithmetic number, because the mean of its divisors is an integer number (424242).

Almost surely, 2^9724768 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 9724768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181808).

9724768 is an abundant number, since it is smaller than the sum of its proper divisors (10638848).

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

9724768 is a wasteful number, since it uses less digits than its factorization.

9724768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 169344, while the sum is 43.

The square root of 9724768 is about 3118.4560282294. The cubic root of 9724768 is about 213.4484881768.

The spelling of 9724768 in words is "nine million, seven hundred twenty-four thousand, seven hundred sixty-eight".