13227648 has 192 divisors, whose sum is σ = 44186400. Its totient is φ = 3483648.

The previous prime is 13227647. The next prime is 13227659. The reversal of 13227648 is 84672231.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×13227648² = 349941343223808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13227647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357486 + ... + 357522.

Almost surely, 2^13227648 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 13227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22093200).

13227648 is an abundant number, since it is smaller than the sum of its proper divisors (30958752).

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

13227648 is a wasteful number, since it uses less digits than its factorization.

13227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 13227648 is about 3636.9833653730. The cubic root of 13227648 is about 236.4980385333.

Adding to 13227648 its reverse (84672231), we get a palindrome (97899879).

The spelling of 13227648 in words is "thirteen million, two hundred twenty-seven thousand, six hundred forty-eight".