9684000 has 144 divisors (see below), whose sum is σ = 34496280. Its totient is φ = 2572800.

The previous prime is 9683983. The next prime is 9684011. The reversal of 9684000 is 4869.

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 8785296 = 948^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 35866 + ... + 36134.

Almost surely, 2^9684000 is an apocalyptic number.

9684000 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 9684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248140).

9684000 is an abundant number, since it is smaller than the sum of its proper divisors (24812280).

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

9684000 is a wasteful number, since it uses less digits than its factorization.

9684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

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

The square root of 9684000 is about 3111.9125951736. The cubic root of 9684000 is about 213.1497987443.

Adding to 9684000 its reverse (4869), we get a palindrome (9688869).

The spelling of 9684000 in words is "nine million, six hundred eighty-four thousand".