13806288 has 120 divisors (see below), whose sum is σ = 41434848. Its totient is φ = 4447872.

The previous prime is 13806283. The next prime is 13806319. The reversal of 13806288 is 88260831.

It is a super-2 number, since 2×13806288² = 381227176677888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13806281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 206031 + ... + 206097.

Almost surely, 2^13806288 is an apocalyptic number.

13806288 is a gapful number since it is divisible by the number (18) 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 13806288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424).

13806288 is an abundant number, since it is smaller than the sum of its proper divisors (27628560).

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

13806288 is an equidigital number, since it uses as much as digits as its factorization.

13806288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 13806288 is about 3715.6813641646. The cubic root of 13806288 is about 239.8974561928.

The spelling of 13806288 in words is "thirteen million, eight hundred six thousand, two hundred eighty-eight".