13663936 has 56 divisors (see below), whose sum is σ = 31875984. Its totient is φ = 5729280.

The previous prime is 13663933. The next prime is 13663943. The reversal of 13663936 is 63936631.

It is a junction number, because it is equal to n+sod(n) for n = 13663895 and 13663904.

It is not an unprimeable number, because it can be changed into a prime (13663931) 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 7 ways as a sum of consecutive naturals, for example, 8406 + ... + 9898.

It is an arithmetic number, because the mean of its divisors is an integer number (569214).

Almost surely, 2^13663936 is an apocalyptic number.

13663936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13663936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937992).

13663936 is an abundant number, since it is smaller than the sum of its proper divisors (18212048).

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

13663936 is a wasteful number, since it uses less digits than its factorization.

13663936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1519 counting only the distinct ones).

The product of its digits is 52488, while the sum is 37.

The square root of 13663936 is about 3696.4761598041. The cubic root of 13663936 is about 239.0701054240.

The spelling of 13663936 in words is "thirteen million, six hundred sixty-three thousand, nine hundred thirty-six".