9384840 has 96 divisors (see below), whose sum is σ = 30888000. Its totient is φ = 2471040.

The previous prime is 9384839. The next prime is 9384853. The reversal of 9384840 is 484839.

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 = 9384795 and 9384804.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47061 + ... + 47259.

It is an arithmetic number, because the mean of its divisors is an integer number (321750).

Almost surely, 2^9384840 is an apocalyptic number.

9384840 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 9384840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444000).

9384840 is an abundant number, since it is smaller than the sum of its proper divisors (21503160).

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

9384840 is a wasteful number, since it uses less digits than its factorization.

9384840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9384840 is about 3063.4686223299. The cubic root of 9384840 is about 210.9319127738.

It can be divided in two parts, 938 and 4840, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 9384840 in words is "nine million, three hundred eighty-four thousand, eight hundred forty".