9868800 has 120 divisors (see below), whose sum is σ = 32727816. Its totient is φ = 2621440.

The previous prime is 9868799. The next prime is 9868813. The reversal of 9868800 is 88689.

It is a tau number, because it is divible by the number of its divisors (120).

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, 38272 + ... + 38528.

Almost surely, 2^9868800 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 9868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16363908).

9868800 is an abundant number, since it is smaller than the sum of its proper divisors (22859016).

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

9868800 is a wasteful number, since it uses less digits than its factorization.

9868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 9868800 is about 3141.4646265715. The cubic root of 9868800 is about 214.4971120177.

The spelling of 9868800 in words is "nine million, eight hundred sixty-eight thousand, eight hundred".