13609248 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 4116480.

The previous prime is 13609247. The next prime is 13609291. The reversal of 13609248 is 84290631.

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

It is a super-2 number, since 2×13609248² = 370423262251008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13609243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50458 + ... + 50726.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 2^13609248 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 13609248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

13609248 is an abundant number, since it is smaller than the sum of its proper divisors (25581792).

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

13609248 is a wasteful number, since it uses less digits than its factorization.

13609248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13609248 is about 3689.0714278799. The cubic root of 13609248 is about 238.7507306978.

Adding to 13609248 its reverse (84290631), we get a palindrome (97899879).

The spelling of 13609248 in words is "thirteen million, six hundred nine thousand, two hundred forty-eight".