9846000 has 120 divisors (see below), whose sum is σ = 34451664. Its totient is φ = 2620800.

The previous prime is 9845999. The next prime is 9846013. The reversal of 9846000 is 6489.

9846000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17727 + ... + 18273.

Almost surely, 2^9846000 is an apocalyptic number.

9846000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9846000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17225832).

9846000 is an abundant number, since it is smaller than the sum of its proper divisors (24605664).

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

9846000 is a wasteful number, since it uses less digits than its factorization.

9846000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9846000 is about 3137.8336475983. The cubic root of 9846000 is about 214.3317996118.

The spelling of 9846000 in words is "nine million, eight hundred forty-six thousand".