9840768 has 96 divisors (see below), whose sum is σ = 30465360. Its totient is φ = 2806272.

The previous prime is 9840763. The next prime is 9840781. The reversal of 9840768 is 8670489.

It is a happy number.

It is a Cunningham number, because it is equal to 3137²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9840763) 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 11 ways as a sum of consecutive naturals, for example, 18555 + ... + 19077.

Almost surely, 2^9840768 is an apocalyptic number.

9840768 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15232680).

9840768 is an abundant number, since it is smaller than the sum of its proper divisors (20624592).

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

9840768 is a wasteful number, since it uses less digits than its factorization.

9840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 9840768 is about 3136.9998406120. Note that the first 3 decimals coincide. The cubic root of 9840768 is about 214.2938287721.

The spelling of 9840768 in words is "nine million, eight hundred forty thousand, seven hundred sixty-eight".