13488672 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 4167680.

The previous prime is 13488661. The next prime is 13488691. The reversal of 13488672 is 27688431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13488672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90454 + ... + 90602.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^13488672 is an apocalyptic number.

13488672 is a gapful number since it is divisible by the number (12) 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 13488672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

13488672 is an abundant number, since it is smaller than the sum of its proper divisors (24613728).

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

13488672 is a wasteful number, since it uses less digits than its factorization.

13488672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 13488672 is about 3672.6927451122. The cubic root of 13488672 is about 238.0435388652.

The spelling of 13488672 in words is "thirteen million, four hundred eighty-eight thousand, six hundred seventy-two".