8241984 has 84 divisors (see below), whose sum is σ = 24269700. Its totient is φ = 2672640.

The previous prime is 8241979. The next prime is 8242007. The reversal of 8241984 is 4891428.

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 5419584 = 1680^2 + 2328^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 23442 + ... + 23790.

It is an arithmetic number, because the mean of its divisors is an integer number (288925).

Almost surely, 2^8241984 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 8241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134850).

8241984 is an abundant number, since it is smaller than the sum of its proper divisors (16027716).

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

8241984 is a wasteful number, since it uses less digits than its factorization.

8241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8241984 is about 2870.8855776572. The cubic root of 8241984 is about 201.9965362279.

The spelling of 8241984 in words is "eight million, two hundred forty-one thousand, nine hundred eighty-four".