13638807 has 72 divisors (see below), whose sum is σ = 25868880. Its totient is φ = 7076160.

The previous prime is 13638799. The next prime is 13638817. The reversal of 13638807 is 70883631.

13638807 is a `hidden beast` number, since 13 + 638 + 8 + 0 + 7 = 666.

It is not a de Polignac number, because 13638807 - 2³ = 13638799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638817) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 223557 + ... + 223617.

It is an arithmetic number, because the mean of its divisors is an integer number (359290).

Almost surely, 2^13638807 is an apocalyptic number.

13638807 is a deficient number, since it is larger than the sum of its proper divisors (12230073).

13638807 is a wasteful number, since it uses less digits than its factorization.

13638807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13638807 is about 3693.0755475620. The cubic root of 13638807 is about 238.9234595563.

The spelling of 13638807 in words is "thirteen million, six hundred thirty-eight thousand, eight hundred seven".