13488576 has 56 divisors (see below), whose sum is σ = 35990784. Its totient is φ = 4458240.

The previous prime is 13488551. The next prime is 13488589. The reversal of 13488576 is 67588431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31081 + ... + 31511.

Almost surely, 2^13488576 is an apocalyptic number.

13488576 is a gapful number since it is divisible by the number (16) 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 13488576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17995392).

13488576 is an abundant number, since it is smaller than the sum of its proper divisors (22502208).

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

13488576 is a wasteful number, since it uses less digits than its factorization.

13488576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 599 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 13488576 is about 3672.6796756592. The cubic root of 13488576 is about 238.0429741386.

The spelling of 13488576 in words is "thirteen million, four hundred eighty-eight thousand, five hundred seventy-six".