8241744 has 80 divisors (see below), whose sum is σ = 25633280. Its totient is φ = 2229120.

The previous prime is 8241721. The next prime is 8241749. The reversal of 8241744 is 4471428.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8241749) 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 15 ways as a sum of consecutive naturals, for example, 5739 + ... + 7029.

It is an arithmetic number, because the mean of its divisors is an integer number (320416).

Almost surely, 2^8241744 is an apocalyptic number.

8241744 is a gapful number since it is divisible by the number (84) 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 8241744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816640).

8241744 is an abundant number, since it is smaller than the sum of its proper divisors (17391536).

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

8241744 is a wasteful number, since it uses less digits than its factorization.

8241744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 8241744 is about 2870.8437784038. The cubic root of 8241744 is about 201.9945755495.

The spelling of 8241744 in words is "eight million, two hundred forty-one thousand, seven hundred forty-four".