13262144 has 42 divisors (see below), whose sum is σ = 30620970. Its totient is φ = 5682432.

The previous prime is 13262143. The next prime is 13262149. The reversal of 13262144 is 44126231.

It can be written as a sum of positive squares in only one way, i.e., 13249600 + 12544 = 3640^2 + 112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13262143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1022 + ... + 5250.

Almost surely, 2^13262144 is an apocalyptic number.

13262144 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 13262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15310485).

13262144 is an abundant number, since it is smaller than the sum of its proper divisors (17358826).

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

13262144 is an equidigital number, since it uses as much as digits as its factorization.

13262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4238 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 13262144 is about 3641.7226692872. The cubic root of 13262144 is about 236.7034455394.

Adding to 13262144 its reverse (44126231), we get a palindrome (57388375).

The spelling of 13262144 in words is "thirteen million, two hundred sixty-two thousand, one hundred forty-four".