13686912 has 72 divisors (see below), whose sum is σ = 39750165. Its totient is φ = 4520448.

The previous prime is 13686901. The next prime is 13686919. The reversal of 13686912 is 21968631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 13133376 + 553536 = 3624^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2616.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13686919) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125514 + ... + 125622.

Almost surely, 2^13686912 is an apocalyptic number.

13686912 is a gapful number since it is divisible by the number (12) 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 13686912

13686912 is an abundant number, since it is smaller than the sum of its proper divisors (26063253).

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

13686912 is an equidigital number, since it uses as much as digits as its factorization.

13686912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 114 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 13686912 is about 3699.5826791680. The cubic root of 13686912 is about 239.2040297155.

The spelling of 13686912 in words is "thirteen million, six hundred eighty-six thousand, nine hundred twelve".