9996800 has 120 divisors (see below), whose sum is σ = 27400032. Its totient is φ = 3584000.

The previous prime is 9996781. The next prime is 9996803. The reversal of 9996800 is 86999.

It is not an unprimeable number, because it can be changed into a prime (9996803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140765 + ... + 140835.

Almost surely, 2^9996800 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 9996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13700016).

9996800 is an abundant number, since it is smaller than the sum of its proper divisors (17403232).

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

9996800 is a wasteful number, since it uses less digits than its factorization.

9996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 41.

The square root of 9996800 is about 3161.7716552591. The cubic root of 9996800 is about 215.4204859148.

The spelling of 9996800 in words is "nine million, nine hundred ninety-six thousand, eight hundred".