9900768 has 48 divisors (see below), whose sum is σ = 26199936. Its totient is φ = 3273600.

The previous prime is 9900757. The next prime is 9900769. The reversal of 9900768 is 8670099.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9900769) 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, 14155 + ... + 14837.

It is an arithmetic number, because the mean of its divisors is an integer number (545832).

Almost surely, 2^9900768 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 9900768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13099968).

9900768 is an abundant number, since it is smaller than the sum of its proper divisors (16299168).

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

9900768 is a wasteful number, since it uses less digits than its factorization.

9900768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 9900768 is about 3146.5485853551. The cubic root of 9900768 is about 214.7284691893.

The spelling of 9900768 in words is "nine million, nine hundred thousand, seven hundred sixty-eight".