13986336 has 96 divisors (see below), whose sum is σ = 45214848. Its totient is φ = 3686400.

The previous prime is 13986331. The next prime is 13986341. The reversal of 13986336 is 63368931.

It is an interprime number because it is at equal distance from previous prime (13986331) and next prime (13986341).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13986294 and 13986303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13986331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7936 + ... + 9536.

It is an arithmetic number, because the mean of its divisors is an integer number (470988).

Almost surely, 2^13986336 is an apocalyptic number.

13986336 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 13986336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22607424).

13986336 is an abundant number, since it is smaller than the sum of its proper divisors (31228512).

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

13986336 is a wasteful number, since it uses less digits than its factorization.

13986336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

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

The square root of 13986336 is about 3739.8310122250. The cubic root of 13986336 is about 240.9357909326.

The spelling of 13986336 in words is "thirteen million, nine hundred eighty-six thousand, three hundred thirty-six".