13328784 has 90 divisors (see below), whose sum is σ = 43415190. Its totient is φ = 3806208.

The previous prime is 13328761. The next prime is 13328797. The reversal of 13328784 is 48782331.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 2039184 = 3360^2 + 1428^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6112 + ... + 8000.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^13328784 is an apocalyptic number.

13328784 is a gapful number since it is divisible by the number (14) 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 13328784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707595).

13328784 is an abundant number, since it is smaller than the sum of its proper divisors (30086406).

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

13328784 is a wasteful number, since it uses less digits than its factorization.

13328784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1901 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 13328784 is about 3650.8607204329. The cubic root of 13328784 is about 237.0992480760.

The spelling of 13328784 in words is "thirteen million, three hundred twenty-eight thousand, seven hundred eighty-four".