9846400 has 96 divisors (see below), whose sum is σ = 25896780. Its totient is φ = 3686400.

The previous prime is 9846391. The next prime is 9846413. The reversal of 9846400 is 46489.

It can be written as a sum of positive squares in 6 ways, for example, as 1871424 + 7974976 = 1368^2 + 2824^2 .

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, 54310 + ... + 54490.

Almost surely, 2^9846400 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 9846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948390).

9846400 is an abundant number, since it is smaller than the sum of its proper divisors (16050380).

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

9846400 is a wasteful number, since it uses less digits than its factorization.

9846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 9846400 is about 3137.8973851928. The cubic root of 9846400 is about 214.3347020276.

It can be divided in two parts, 9 and 846400, that multiplied together give a square (7617600 = 2760²).

The spelling of 9846400 in words is "nine million, eight hundred forty-six thousand, four hundred".