9840240 has 120 divisors (see below), whose sum is σ = 33658560. Its totient is φ = 2575872.

The previous prime is 9840239. The next prime is 9840247. The reversal of 9840240 is 420489.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9840247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56794 + ... + 56966.

It is an arithmetic number, because the mean of its divisors is an integer number (280488).

Almost surely, 2^9840240 is an apocalyptic number.

9840240 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 9840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829280).

9840240 is an abundant number, since it is smaller than the sum of its proper divisors (23818320).

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

9840240 is a wasteful number, since it uses less digits than its factorization.

9840240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9840240 is about 3136.9156826412. The cubic root of 9840240 is about 214.2899961049.

The spelling of 9840240 in words is "nine million, eight hundred forty thousand, two hundred forty".