8024224208 has 80 divisors (see below), whose sum is σ = 20874247296. Its totient is φ = 2885829120.

The previous prime is 8024224207. The next prime is 8024224237.

It is a happy number.

8024224208 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8024224207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234491 + ... + 266522.

Almost surely, 2^8024224208 is an apocalyptic number.

8024224208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8024224208 is an abundant number, since it is smaller than the sum of its proper divisors (12850023088).

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

8024224208 is a wasteful number, since it uses less digits than its factorization.

8024224208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501052 (or 501046 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8024224208 is about 89578.0341824936. The cubic root of 8024224208 is about 2002.0166498782.

It can be divided in two parts, 8024 and 224208, that added together give a palindrome (232232).

The spelling of 8024224208 in words is "eight billion, twenty-four million, two hundred twenty-four thousand, two hundred eight".