13331648 has 56 divisors (see below), whose sum is σ = 29900880. Its totient is φ = 5841920.

The previous prime is 13331641. The next prime is 13331663. The reversal of 13331648 is 84613331.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 13331648.

It is not an unprimeable number, because it can be changed into a prime (13331641) 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 7 ways as a sum of consecutive naturals, for example, 20090 + ... + 20742.

Almost surely, 2^13331648 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 13331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950440).

13331648 is an abundant number, since it is smaller than the sum of its proper divisors (16569232).

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

13331648 is a wasteful number, since it uses less digits than its factorization.

13331648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 13331648 is about 3651.2529356373. The cubic root of 13331648 is about 237.1162289603.

Adding to 13331648 its reverse (84613331), we get a palindrome (97944979).

The spelling of 13331648 in words is "thirteen million, three hundred thirty-one thousand, six hundred forty-eight".