9984240 has 180 divisors, whose sum is σ = 39142584. Its totient is φ = 2274048.

The previous prime is 9984229. The next prime is 9984241. The reversal of 9984240 is 424899.

9984240 = 543² + 544² + ... + 574².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9984195 and 9984204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35139 + ... + 35421.

Almost surely, 2^9984240 is an apocalyptic number.

9984240 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 9984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19571292).

9984240 is an abundant number, since it is smaller than the sum of its proper divisors (29158344).

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

9984240 is a wasteful number, since it uses less digits than its factorization.

9984240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9984240 is about 3159.7848027991. The cubic root of 9984240 is about 215.3302298583.

The spelling of 9984240 in words is "nine million, nine hundred eighty-four thousand, two hundred forty".