13806000 has 240 divisors, whose sum is σ = 52809120. Its totient is φ = 3340800.

The previous prime is 13805983. The next prime is 13806019. The reversal of 13806000 is 60831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 233971 + ... + 234029.

It is an arithmetic number, because the mean of its divisors is an integer number (220038).

Almost surely, 2^13806000 is an apocalyptic number.

13806000 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 13806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26404560).

13806000 is an abundant number, since it is smaller than the sum of its proper divisors (39003120).

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

13806000 is a wasteful number, since it uses less digits than its factorization.

13806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13806000 is about 3715.6426092938. The cubic root of 13806000 is about 239.8957880894.

Adding to 13806000 its reverse (60831), we get a palindrome (13866831).

The spelling of 13806000 in words is "thirteen million, eight hundred six thousand".