13826106 has 64 divisors (see below), whose sum is σ = 35635200. Its totient is φ = 3891888.

The previous prime is 13826101. The next prime is 13826107. The reversal of 13826106 is 60162831.

It is a super-2 number, since 2×13826106² = 382322414246472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13826106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13826101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29631 + ... + 30093.

It is an arithmetic number, because the mean of its divisors is an integer number (556800).

Almost surely, 2^13826106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13826106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17817600).

13826106 is an abundant number, since it is smaller than the sum of its proper divisors (21809094).

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

13826106 is a wasteful number, since it uses less digits than its factorization.

13826106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13826106 is about 3718.3472134807. The cubic root of 13826106 is about 240.0121868812.

Adding to 13826106 its reverse (60162831), we get a palindrome (73988937).

It can be divided in two parts, 138 and 26106, that added together give a square (26244 = 162²).

The spelling of 13826106 in words is "thirteen million, eight hundred twenty-six thousand, one hundred six".