13288224 has 48 divisors (see below), whose sum is σ = 35265888. Its totient is φ = 4380672.

The previous prime is 13288211. The next prime is 13288259. The reversal of 13288224 is 42288231.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 13288191 and 13288200.

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, 8599 + ... + 10025.

It is an arithmetic number, because the mean of its divisors is an integer number (734706).

Almost surely, 2^13288224 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 13288224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632944).

13288224 is an abundant number, since it is smaller than the sum of its proper divisors (21977664).

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

13288224 is a wasteful number, since it uses less digits than its factorization.

13288224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1529 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 13288224 is about 3645.3016336100. The cubic root of 13288224 is about 236.8585030154.

The spelling of 13288224 in words is "thirteen million, two hundred eighty-eight thousand, two hundred twenty-four".