13006836 has 72 divisors (see below), whose sum is σ = 35557704. Its totient is φ = 3993600.

The previous prime is 13006831. The next prime is 13006837. The reversal of 13006836 is 63860031.

It can be written as a sum of positive squares in 4 ways, for example, as 9180900 + 3825936 = 3030^2 + 1956^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006831) 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, 32236 + ... + 32636.

It is an arithmetic number, because the mean of its divisors is an integer number (493857).

Almost surely, 2^13006836 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 13006836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778852).

13006836 is an abundant number, since it is smaller than the sum of its proper divisors (22550868).

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

13006836 is a wasteful number, since it uses less digits than its factorization.

13006836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13006836 is about 3606.4991335088. The cubic root of 13006836 is about 235.1746762267.

Adding to 13006836 its reverse (63860031), we get a palindrome (76866867).

The spelling of 13006836 in words is "thirteen million, six thousand, eight hundred thirty-six".