9804240 has 200 divisors, whose sum is σ = 36459720. Its totient is φ = 2433024.

The previous prime is 9804239. The next prime is 9804241. The reversal of 9804240 is 424089.

It is an interprime number because it is at equal distance from previous prime (9804239) and next prime (9804241).

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 8928144 = 936^2 + 2988^2 .

It is a super-2 number, since 2×9804240² = 192246243955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9804241) 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 39 ways as a sum of consecutive naturals, for example, 110116 + ... + 110204.

Almost surely, 2^9804240 is an apocalyptic number.

9804240 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 9804240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229860).

9804240 is an abundant number, since it is smaller than the sum of its proper divisors (26655480).

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

9804240 is a wasteful number, since it uses less digits than its factorization.

9804240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

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

The square root of 9804240 is about 3131.1723044253. The cubic root of 9804240 is about 214.0283538871.

The spelling of 9804240 in words is "nine million, eight hundred four thousand, two hundred forty".