9784240 has 80 divisors (see below), whose sum is σ = 24685920. Its totient is φ = 3594240.

The previous prime is 9784213. The next prime is 9784249. The reversal of 9784240 is 424879.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 9784196 and 9784205.

It is not an unprimeable number, because it can be changed into a prime (9784249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62242 + ... + 62398.

It is an arithmetic number, because the mean of its divisors is an integer number (308574).

Almost surely, 2^9784240 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 9784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342960).

9784240 is an abundant number, since it is smaller than the sum of its proper divisors (14901680).

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

9784240 is a wasteful number, since it uses less digits than its factorization.

9784240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 9784240 is about 3127.9769820125. The cubic root of 9784240 is about 213.8827202609.

The spelling of 9784240 in words is "nine million, seven hundred eighty-four thousand, two hundred forty".