13344768 has 84 divisors (see below), whose sum is σ = 38762178. Its totient is φ = 4423680.

The previous prime is 13344767. The next prime is 13344769. The reversal of 13344768 is 86744331.

It is an interprime number because it is at equal distance from previous prime (13344767) and next prime (13344769).

It can be written as a sum of positive squares in only one way, i.e., 13307904 + 36864 = 3648^2 + 192^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13344763) 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 5 ways as a sum of consecutive naturals, for example, 73638 + ... + 73818.

Almost surely, 2^13344768 is an apocalyptic number.

13344768 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 13344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19381089).

13344768 is an abundant number, since it is smaller than the sum of its proper divisors (25417410).

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

13344768 is an equidigital number, since it uses as much as digits as its factorization.

13344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13344768 is about 3653.0491373646. The cubic root of 13344768 is about 237.1939874128.

The spelling of 13344768 in words is "thirteen million, three hundred forty-four thousand, seven hundred sixty-eight".