9759968 has 48 divisors (see below), whose sum is σ = 20257776. Its totient is φ = 4623360.

The previous prime is 9759961. The next prime is 9759983. The reversal of 9759968 is 8699579.

It is a super-2 number, since 2×9759968² = 190513950722048, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9759961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56330 + ... + 56502.

It is an arithmetic number, because the mean of its divisors is an integer number (422037).

Almost surely, 2^9759968 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 9759968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128888).

9759968 is an abundant number, since it is smaller than the sum of its proper divisors (10497808).

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

9759968 is a wasteful number, since it uses less digits than its factorization.

9759968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 53.

The square root of 9759968 is about 3124.0947488833. The cubic root of 9759968 is about 213.7057124711.

The spelling of 9759968 in words is "nine million, seven hundred fifty-nine thousand, nine hundred sixty-eight".