13506688 has 32 divisors (see below), whose sum is σ = 28981260. Its totient is φ = 6233088.

The previous prime is 13506683. The next prime is 13506697. The reversal of 13506688 is 88660531.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 23104 = 3672^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13506683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2395 + ... + 5722.

Almost surely, 2^13506688 is an apocalyptic number.

It is an amenable number.

13506688 is an abundant number, since it is smaller than the sum of its proper divisors (15474572).

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

13506688 is an equidigital number, since it uses as much as digits as its factorization.

13506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8144 (or 8132 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 13506688 is about 3675.1446230047. The cubic root of 13506688 is about 238.1494718158.

The spelling of 13506688 in words is "thirteen million, five hundred six thousand, six hundred eighty-eight".