13200816 has 40 divisors (see below), whose sum is σ = 34752240. Its totient is φ = 4316416.

The previous prime is 13200797. The next prime is 13200833. The reversal of 13200816 is 61800231.

13200816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13200792 and 13200801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 5138.

It is an arithmetic number, because the mean of its divisors is an integer number (868806).

Almost surely, 2^13200816 is an apocalyptic number.

13200816 is a gapful number since it is divisible by the number (16) 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 13200816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17376120).

13200816 is an abundant number, since it is smaller than the sum of its proper divisors (21551424).

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

13200816 is a wasteful number, since it uses less digits than its factorization.

13200816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 13200816 is about 3633.2927214856. The cubic root of 13200816 is about 236.3380198884.

The spelling of 13200816 in words is "thirteen million, two hundred thousand, eight hundred sixteen".