13042944 has 180 divisors, whose sum is σ = 42292404. Its totient is φ = 3981312.

The previous prime is 13042943. The next prime is 13042963. The reversal of 13042944 is 44924031.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 2073600 = 3312^2 + 1440^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352494 + ... + 352530.

Almost surely, 2^13042944 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 13042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21146202).

13042944 is an abundant number, since it is smaller than the sum of its proper divisors (29249460).

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

13042944 is an equidigital number, since it uses as much as digits as its factorization.

13042944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

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

The square root of 13042944 is about 3611.5016267475. The cubic root of 13042944 is about 235.3920962932.

Adding to 13042944 its reverse (44924031), we get a palindrome (57966975).

The spelling of 13042944 in words is "thirteen million, forty-two thousand, nine hundred forty-four".