13686528 has 72 divisors (see below), whose sum is σ = 37086336. Its totient is φ = 4480000.

The previous prime is 13686527. The next prime is 13686529. The reversal of 13686528 is 82568631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13686527) and next prime (13686529).

It is a super-3 number, since 3×13686528³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13686523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54403 + ... + 54653.

It is an arithmetic number, because the mean of its divisors is an integer number (515088).

Almost surely, 2^13686528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13686528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543168).

13686528 is an abundant number, since it is smaller than the sum of its proper divisors (23399808).

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

13686528 is an equidigital number, since it uses as much as digits as its factorization.

13686528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 13686528 is about 3699.5307810586. The cubic root of 13686528 is about 239.2017926585.

The spelling of 13686528 in words is "thirteen million, six hundred eighty-six thousand, five hundred twenty-eight".