13068144 has 60 divisors (see below), whose sum is σ = 36876112. Its totient is φ = 4320000.

The previous prime is 13068127. The next prime is 13068169. The reversal of 13068144 is 44186031.

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 11 ways as a sum of consecutive naturals, for example, 21444 + ... + 22044.

Almost surely, 2^13068144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13068144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18438056).

13068144 is an abundant number, since it is smaller than the sum of its proper divisors (23807968).

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

13068144 is a wasteful number, since it uses less digits than its factorization.

13068144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13068144 is about 3614.9887966631. The cubic root of 13068144 is about 235.5435974837.

The spelling of 13068144 in words is "thirteen million, sixty-eight thousand, one hundred forty-four".