13504608 has 72 divisors (see below), whose sum is σ = 41369328. Its totient is φ = 4154112.

The previous prime is 13504597. The next prime is 13504643. The reversal of 13504608 is 80640531.

13504608 is a `hidden beast` number, since 1 + 3 + 50 + 4 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1941 + ... + 5547.

It is an arithmetic number, because the mean of its divisors is an integer number (574574).

Almost surely, 2^13504608 is an apocalyptic number.

13504608 is a gapful number since it is divisible by the number (18) 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 13504608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684664).

13504608 is an abundant number, since it is smaller than the sum of its proper divisors (27864720).

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

13504608 is a wasteful number, since it uses less digits than its factorization.

13504608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13504608 is about 3674.8616300481. The cubic root of 13504608 is about 238.1372463580.

The spelling of 13504608 in words is "thirteen million, five hundred four thousand, six hundred eight".