13328672 has 48 divisors (see below), whose sum is σ = 30260160. Its totient is φ = 5660928.

The previous prime is 13328657. The next prime is 13328701. The reversal of 13328672 is 27682331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34979 + ... + 35357.

It is an arithmetic number, because the mean of its divisors is an integer number (630420).

Almost surely, 2^13328672 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 13328672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130080).

13328672 is an abundant number, since it is smaller than the sum of its proper divisors (16931488).

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

13328672 is a wasteful number, since it uses less digits than its factorization.

13328672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 13328672 is about 3650.8453815521. The cubic root of 13328672 is about 237.0985839697.

The spelling of 13328672 in words is "thirteen million, three hundred twenty-eight thousand, six hundred seventy-two".