9468800 has 96 divisors (see below), whose sum is σ = 25612200. Its totient is φ = 3430400.

The previous prime is 9468793. The next prime is 9468817. The reversal of 9468800 is 88649.

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, 35066 + ... + 35334.

Almost surely, 2^9468800 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 9468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806100).

9468800 is an abundant number, since it is smaller than the sum of its proper divisors (16143400).

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

9468800 is a wasteful number, since it uses less digits than its factorization.

9468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 9468800 is about 3077.1415307067. The cubic root of 9468800 is about 211.5590693210.

The spelling of 9468800 in words is "nine million, four hundred sixty-eight thousand, eight hundred".