13385600 has 96 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 5181440.

The previous prime is 13385587. The next prime is 13385611. The reversal of 13385600 is 658331.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13385600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150356 + ... + 150444.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^13385600 is an apocalyptic number.

13385600 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 13385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

13385600 is an abundant number, since it is smaller than the sum of its proper divisors (20764000).

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

13385600 is an equidigital number, since it uses as much as digits as its factorization.

13385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13385600 is about 3658.6336247293. The cubic root of 13385600 is about 237.4356612426.

The spelling of 13385600 in words is "thirteen million, three hundred eighty-five thousand, six hundred".