13824008 has 24 divisors (see below), whose sum is σ = 28492590. Its totient is φ = 6283200.

The previous prime is 13823987. The next prime is 13824017. The reversal of 13824008 is 80042831.

It can be written as a sum of positive squares in only one way, i.e., 13823524 + 484 = 3718^2 + 22^2 .

It is a super-2 number, since 2×13824008² = 382206394368128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6173 + ... + 8108.

Almost surely, 2^13824008 is an apocalyptic number.

It is an amenable number.

13824008 is an abundant number, since it is smaller than the sum of its proper divisors (14668582).

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

13824008 is a wasteful number, since it uses less digits than its factorization.

13824008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14309 (or 14294 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13824008 is about 3718.0650881877. The cubic root of 13824008 is about 240.0000462963. Note that the first 4 decimals are identical.

Adding to 13824008 its reverse (80042831), we get a palindrome (93866839).

The spelling of 13824008 in words is "thirteen million, eight hundred twenty-four thousand, eight".