13385800 has 96 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 4838400.

The previous prime is 13385773. The next prime is 13385809. The reversal of 13385800 is 858331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13385809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105337 + ... + 105463.

It is an arithmetic number, because the mean of its divisors is an integer number (357120).

Almost surely, 2^13385800 is an apocalyptic number.

13385800 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 13385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

13385800 is an abundant number, since it is smaller than the sum of its proper divisors (20897720).

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

13385800 is a wasteful number, since it uses less digits than its factorization.

13385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 13385800 is about 3658.6609572356. The cubic root of 13385800 is about 237.4368437794.

The spelling of 13385800 in words is "thirteen million, three hundred eighty-five thousand, eight hundred".