9840000 has 160 divisors (see below), whose sum is σ = 33458040. Its totient is φ = 2560000.

The previous prime is 9839993. The next prime is 9840001. The reversal of 9840000 is 489.

It is a tau number, because it is divible by the number of its divisors (160).

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9840001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239980 + ... + 240020.

Almost surely, 2^9840000 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 9840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729020).

9840000 is an abundant number, since it is smaller than the sum of its proper divisors (23618040).

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

9840000 is an equidigital number, since it uses as much as digits as its factorization.

9840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 9840000 is about 3136.8774282716. The cubic root of 9840000 is about 214.2882539382.

Adding to 9840000 its reverse (489), we get a palindrome (9840489).

The spelling of 9840000 in words is "nine million, eight hundred forty thousand".