13647872 has 90 divisors (see below), whose sum is σ = 33618942. Its totient is φ = 5505024.

The previous prime is 13647869. The next prime is 13647917. The reversal of 13647872 is 27874631.

It can be written as a sum of positive squares in only one way, i.e., 12845056 + 802816 = 3584^2 + 896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 802808 + ... + 802824.

Almost surely, 2^13647872 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 13647872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16809471).

13647872 is an abundant number, since it is smaller than the sum of its proper divisors (19971070).

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

13647872 is an frugal number, since it uses more digits than its factorization.

13647872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 26 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 13647872 is about 3694.3026405534. The cubic root of 13647872 is about 238.9763811326.

The spelling of 13647872 in words is "thirteen million, six hundred forty-seven thousand, eight hundred seventy-two".