13678401 has 16 divisors (see below), whose sum is σ = 20583360. Its totient is φ = 8003520.

The previous prime is 13678373. The next prime is 13678403. The reversal of 13678401 is 10487631.

It is a happy number.

It is not a de Polignac number, because 13678401 - 2¹¹ = 13676353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13678403) 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 15 ways as a sum of consecutive naturals, for example, 6190 + ... + 8103.

It is an arithmetic number, because the mean of its divisors is an integer number (1286460).

Almost surely, 2^13678401 is an apocalyptic number.

13678401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13678401 is a deficient number, since it is larger than the sum of its proper divisors (6904959).

13678401 is a wasteful number, since it uses less digits than its factorization.

13678401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14336.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13678401 is about 3698.4322354208. The cubic root of 13678401 is about 239.1544376275.

The spelling of 13678401 in words is "thirteen million, six hundred seventy-eight thousand, four hundred one".