13245600 has 72 divisors (see below), whose sum is σ = 43122240. Its totient is φ = 3531520.

The previous prime is 13245599. The next prime is 13245607. The reversal of 13245600 is 654231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13245607) 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, 360 + ... + 5159.

It is an arithmetic number, because the mean of its divisors is an integer number (598920).

Almost surely, 2^13245600 is an apocalyptic number.

13245600 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 13245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561120).

13245600 is an abundant number, since it is smaller than the sum of its proper divisors (29876640).

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

13245600 is a wasteful number, since it uses less digits than its factorization.

13245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13245600 is about 3639.4505079751. The cubic root of 13245600 is about 236.6049785220.

Adding to 13245600 its reverse (654231), we get a palindrome (13899831).

The spelling of 13245600 in words is "thirteen million, two hundred forty-five thousand, six hundred".