9968300 has 36 divisors (see below), whose sum is σ = 21910056. Its totient is φ = 3936000.

The previous prime is 9968297. The next prime is 9968317. The reversal of 9968300 is 38699.

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, 7700 + ... + 8900.

Almost surely, 2^9968300 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 9968300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10955028).

9968300 is an abundant number, since it is smaller than the sum of its proper divisors (11941756).

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

9968300 is a wasteful number, since it uses less digits than its factorization.

9968300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 9968300 is about 3157.2614715921. The cubic root of 9968300 is about 215.2155760942.

The spelling of 9968300 in words is "nine million, nine hundred sixty-eight thousand, three hundred".