13344400 has 60 divisors (see below), whose sum is σ = 32570212. Its totient is φ = 5253120.

The previous prime is 13344391. The next prime is 13344407. The reversal of 13344400 is 444331.

13344400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 123904 + 13220496 = 352^2 + 3636^2 .

It is a super-2 number, since 2×13344400² = 356146022720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13344407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28972 + ... + 29428.

Almost surely, 2^13344400 is an apocalyptic number.

13344400 is a gapful number since it is divisible by the number (10) 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 13344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285106).

13344400 is an abundant number, since it is smaller than the sum of its proper divisors (19225812).

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

13344400 is a wasteful number, since it uses less digits than its factorization.

13344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 13344400 is about 3652.9987681356. The cubic root of 13344400 is about 237.1918070780.

Adding to 13344400 its reverse (444331), we get a palindrome (13788731).

The spelling of 13344400 in words is "thirteen million, three hundred forty-four thousand, four hundred".