8287344 has 120 divisors (see below), whose sum is σ = 26404560. Its totient is φ = 2405376.

The previous prime is 8287343. The next prime is 8287351. The reversal of 8287344 is 4437828.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 8287299 and 8287308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8287343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35452 + ... + 35684.

It is an arithmetic number, because the mean of its divisors is an integer number (220038).

Almost surely, 2^8287344 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 8287344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202280).

8287344 is an abundant number, since it is smaller than the sum of its proper divisors (18117216).

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

8287344 is a wasteful number, since it uses less digits than its factorization.

8287344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 8287344 is about 2878.7747393640. The cubic root of 8287344 is about 202.3664231094.

The spelling of 8287344 in words is "eight million, two hundred eighty-seven thousand, three hundred forty-four".