9894400 has 60 divisors (see below), whose sum is σ = 24545862. Its totient is φ = 3952640.

The previous prime is 9894377. The next prime is 9894419. The reversal of 9894400 is 44989.

It can be written as a sum of positive squares in 3 ways, for example, as 4804864 + 5089536 = 2192^2 + 2256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12414 + ... + 13186.

Almost surely, 2^9894400 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 9894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272931).

9894400 is an abundant number, since it is smaller than the sum of its proper divisors (14651462).

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

9894400 is an equidigital number, since it uses as much as digits as its factorization.

9894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 9894400 is about 3145.5365202140. The cubic root of 9894400 is about 214.6824227898.

The spelling of 9894400 in words is "nine million, eight hundred ninety-four thousand, four hundred".