13488016 has 40 divisors (see below), whose sum is σ = 27732600. Its totient is φ = 6343680.

The previous prime is 13488001. The next prime is 13488037. The reversal of 13488016 is 61088431.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 13395600 = 304^2 + 3660^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18670 + ... + 19378.

It is an arithmetic number, because the mean of its divisors is an integer number (693315).

Almost surely, 2^13488016 is an apocalyptic number.

13488016 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 13488016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866300).

13488016 is an abundant number, since it is smaller than the sum of its proper divisors (14244584).

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

13488016 is a wasteful number, since it uses less digits than its factorization.

13488016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 13488016 is about 3672.6034362561. The cubic root of 13488016 is about 238.0396798469.

The spelling of 13488016 in words is "thirteen million, four hundred eighty-eight thousand, sixteen".