13608064 has 32 divisors (see below), whose sum is σ = 27781740. Its totient is φ = 6635520.

The previous prime is 13608061. The next prime is 13608071. The reversal of 13608064 is 46080631.

It can be written as a sum of positive squares in 2 ways, for example, as 12902464 + 705600 = 3592^2 + 840^2 .

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 (13608061) 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, 3952 + ... + 6544.

Almost surely, 2^13608064 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 13608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890870).

13608064 is an abundant number, since it is smaller than the sum of its proper divisors (14173676).

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

13608064 is an equidigital number, since it uses as much as digits as its factorization.

13608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 13608064 is about 3688.9109504026. The cubic root of 13608064 is about 238.7438067525.

Adding to 13608064 its reverse (46080631), we get a palindrome (59688695).

The spelling of 13608064 in words is "thirteen million, six hundred eight thousand, sixty-four".