9996768 has 72 divisors (see below), whose sum is σ = 28789488. Its totient is φ = 3290112.

The previous prime is 9996757. The next prime is 9996781. The reversal of 9996768 is 8676999.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29496 + ... + 29832.

It is an arithmetic number, because the mean of its divisors is an integer number (399854).

Almost surely, 2^9996768 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 9996768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394744).

9996768 is an abundant number, since it is smaller than the sum of its proper divisors (18792720).

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

9996768 is a wasteful number, since it uses less digits than its factorization.

9996768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 9996768 is about 3161.7665948011. The cubic root of 9996768 is about 215.4202560591.

The spelling of 9996768 in words is "nine million, nine hundred ninety-six thousand, seven hundred sixty-eight".