8218944 has 84 divisors (see below), whose sum is σ = 24831040. Its totient is φ = 2592000.

The previous prime is 8218913. The next prime is 8218961. The reversal of 8218944 is 4498128.

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 junction number, because it is equal to n+sod(n) for n = 8218899 and 8218908.

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, 10569 + ... + 11319.

Almost surely, 2^8218944 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 8218944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415520).

8218944 is an abundant number, since it is smaller than the sum of its proper divisors (16612096).

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

8218944 is a wasteful number, since it uses less digits than its factorization.

8218944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 775 counting only the distinct ones).

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

The square root of 8218944 is about 2866.8700703032. The cubic root of 8218944 is about 201.8081372693.

The spelling of 8218944 in words is "eight million, two hundred eighteen thousand, nine hundred forty-four".