13683936 has 72 divisors (see below), whose sum is σ = 41799240. Its totient is φ = 3908352.

The previous prime is 13683931. The next prime is 13683937. The reversal of 13683936 is 63938631.

It is a junction number, because it is equal to n+sod(n) for n = 13683894 and 13683903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13683931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3250 + ... + 6158.

It is an arithmetic number, because the mean of its divisors is an integer number (580545).

Almost surely, 2^13683936 is an apocalyptic number.

13683936 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 13683936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20899620).

13683936 is an abundant number, since it is smaller than the sum of its proper divisors (28115304).

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

13683936 is a wasteful number, since it uses less digits than its factorization.

13683936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2921 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 13683936 is about 3699.1804497753. The cubic root of 13683936 is about 239.1866914293.

The spelling of 13683936 in words is "thirteen million, six hundred eighty-three thousand, nine hundred thirty-six".