13243600 has 60 divisors (see below), whose sum is σ = 32208876. Its totient is φ = 5232640.

The previous prime is 13243597. The next prime is 13243621. The reversal of 13243600 is 634231.

It can be written as a sum of positive squares in 6 ways, for example, as 484416 + 12759184 = 696^2 + 3572^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45054 + ... + 45346.

Almost surely, 2^13243600 is an apocalyptic number.

13243600 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 13243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16104438).

13243600 is an abundant number, since it is smaller than the sum of its proper divisors (18965276).

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

13243600 is a wasteful number, since it uses less digits than its factorization.

13243600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 13243600 is about 3639.1757308490. The cubic root of 13243600 is about 236.5930693150.

Adding to 13243600 its reverse (634231), we get a palindrome (13877831).

It can be divided in two parts, 1 and 3243600, that added together give a square (3243601 = 1801²).

The spelling of 13243600 in words is "thirteen million, two hundred forty-three thousand, six hundred".