13306640 has 40 divisors (see below), whose sum is σ = 31605120. Its totient is φ = 5207936.

The previous prime is 13306637. The next prime is 13306661. The reversal of 13306640 is 4660331.

It is a tau number, because it is divible by the number of its divisors (40).

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, 1991 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (790128).

Almost surely, 2^13306640 is an apocalyptic number.

13306640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802560).

13306640 is an abundant number, since it is smaller than the sum of its proper divisors (18298480).

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

13306640 is a wasteful number, since it uses less digits than its factorization.

13306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 13306640 is about 3647.8267502720. The cubic root of 13306640 is about 236.9678723504.

Adding to 13306640 its reverse (4660331), we get a palindrome (17966971).

The spelling of 13306640 in words is "thirteen million, three hundred six thousand, six hundred forty".