13285800 has 216 divisors, whose sum is σ = 49847070. Its totient is φ = 3168000.

The previous prime is 13285793. The next prime is 13285817. The reversal of 13285800 is 858231.

It is a happy number.

13285800 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 3 ways, for example, as 5963364 + 7322436 = 2442^2 + 2706^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 217770 + ... + 217830.

Almost surely, 2^13285800 is an apocalyptic number.

13285800 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 13285800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24923535).

13285800 is an abundant number, since it is smaller than the sum of its proper divisors (36561270).

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

13285800 is a wasteful number, since it uses less digits than its factorization.

13285800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13285800 is about 3644.9691356718. The cubic root of 13285800 is about 236.8440997883.

The spelling of 13285800 in words is "thirteen million, two hundred eighty-five thousand, eight hundred".