13261664 has 48 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 6021120.

The previous prime is 13261631. The next prime is 13261667. The reversal of 13261664 is 46616231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13261667) 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, 29312 + ... + 29760.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 2^13261664 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 13261664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

13261664 is an abundant number, since it is smaller than the sum of its proper divisors (15315136).

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

13261664 is a wasteful number, since it uses less digits than its factorization.

13261664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 535 counting only the distinct ones).

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

The square root of 13261664 is about 3641.6567658142. The cubic root of 13261664 is about 236.7005898165.

Adding to 13261664 its reverse (46616231), we get a palindrome (59877895).

The spelling of 13261664 in words is "thirteen million, two hundred sixty-one thousand, six hundred sixty-four".