13682656 has 48 divisors (see below), whose sum is σ = 29973888. Its totient is φ = 6105600.

The previous prime is 13682653. The next prime is 13682659. The reversal of 13682656 is 65628631.

It is an interprime number because it is at equal distance from previous prime (13682653) and next prime (13682659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682653) 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, 12366 + ... + 13426.

It is an arithmetic number, because the mean of its divisors is an integer number (624456).

Almost surely, 2^13682656 is an apocalyptic number.

13682656 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 13682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986944).

13682656 is an abundant number, since it is smaller than the sum of its proper divisors (16291232).

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

13682656 is a wasteful number, since it uses less digits than its factorization.

13682656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1107 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 13682656 is about 3699.0074344343. The cubic root of 13682656 is about 239.1792333287.

The spelling of 13682656 in words is "thirteen million, six hundred eighty-two thousand, six hundred fifty-six".