13808564 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 5316960.

The previous prime is 13808551. The next prime is 13808593. The reversal of 13808564 is 46580831.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32747 + ... + 33165.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^13808564 is an apocalyptic number.

13808564 is a gapful number since it is divisible by the number (14) 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 13808564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

13808564 is an abundant number, since it is smaller than the sum of its proper divisors (16673356).

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

13808564 is a wasteful number, since it uses less digits than its factorization.

13808564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 13808564 is about 3715.9876210773. The cubic root of 13808564 is about 239.9106380273.

The spelling of 13808564 in words is "thirteen million, eight hundred eight thousand, five hundred sixty-four".