9895200 has 288 divisors, whose sum is σ = 39997440. Its totient is φ = 2073600.

The previous prime is 9895187. The next prime is 9895201. The reversal of 9895200 is 25989.

9895200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9895201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319185 + ... + 319215.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

Almost surely, 2^9895200 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 9895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

9895200 is an abundant number, since it is smaller than the sum of its proper divisors (30102240).

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

9895200 is a wasteful number, since it uses less digits than its factorization.

9895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 9895200 is about 3145.6636819597. The cubic root of 9895200 is about 214.6882085982.

The spelling of 9895200 in words is "nine million, eight hundred ninety-five thousand, two hundred".