8384940 has 72 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 2173824.

The previous prime is 8384933. The next prime is 8384969. The reversal of 8384940 is 494838.

8384940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 8384895 and 8384904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6031 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 2^8384940 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 8384940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

8384940 is an abundant number, since it is smaller than the sum of its proper divisors (17757540).

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

8384940 is a wasteful number, since it uses less digits than its factorization.

8384940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1306 counting only the distinct ones).

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

The square root of 8384940 is about 2895.6760868578. The cubic root of 8384940 is about 203.1577151251.

It can be divided in two parts, 838 and 4940, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 8384940 in words is "eight million, three hundred eighty-four thousand, nine hundred forty".