9894800 has 60 divisors (see below), whose sum is σ = 24620820. Its totient is φ = 3816960.

The previous prime is 9894793. The next prime is 9894803. The reversal of 9894800 is 84989.

It can be written as a sum of positive squares in 6 ways, for example, as 1507984 + 8386816 = 1228^2 + 2896^2 .

It is not an unprimeable number, because it can be changed into a prime (9894803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11174 + ... + 12026.

It is an arithmetic number, because the mean of its divisors is an integer number (410347).

Almost surely, 2^9894800 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 9894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12310410).

9894800 is an abundant number, since it is smaller than the sum of its proper divisors (14726020).

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

9894800 is a wasteful number, since it uses less digits than its factorization.

9894800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 9894800 is about 3145.6001017294. The cubic root of 9894800 is about 214.6853157330.

The spelling of 9894800 in words is "nine million, eight hundred ninety-four thousand, eight hundred".