13626144 has 120 divisors (see below), whose sum is σ = 45859968. Its totient is φ = 3888000.

The previous prime is 13626139. The next prime is 13626181. The reversal of 13626144 is 44162631.

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

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 17769 + ... + 18519.

Almost surely, 2^13626144 is an apocalyptic number.

13626144 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 13626144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22929984).

13626144 is an abundant number, since it is smaller than the sum of its proper divisors (32233824).

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

13626144 is an equidigital number, since it uses as much as digits as its factorization.

13626144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 763 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13626144 is about 3691.3607247193. The cubic root of 13626144 is about 238.8494935417.

Adding to 13626144 its reverse (44162631), we get a palindrome (57788775).

The spelling of 13626144 in words is "thirteen million, six hundred twenty-six thousand, one hundred forty-four".