13827008 has 28 divisors (see below), whose sum is σ = 29550360. Its totient is φ = 6381312.

The previous prime is 13827007. The next prime is 13827013. The reversal of 13827008 is 80072831.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827007) 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 3 ways as a sum of consecutive naturals, for example, 7478 + ... + 9141.

It is an arithmetic number, because the mean of its divisors is an integer number (1055370).

Almost surely, 2^13827008 is an apocalyptic number.

It is an amenable number.

13827008 is an abundant number, since it is smaller than the sum of its proper divisors (15723352).

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

13827008 is a wasteful number, since it uses less digits than its factorization.

13827008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644 (or 16634 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 13827008 is about 3718.4685019508. The cubic root of 13827008 is about 240.0174061450.

Adding to 13827008 its reverse (80072831), we get a palindrome (93899839).

The spelling of 13827008 in words is "thirteen million, eight hundred twenty-seven thousand, eight".