13605000 has 80 divisors (see below), whose sum is σ = 42548880. Its totient is φ = 3624000.

The previous prime is 13604999. The next prime is 13605019. The reversal of 13605000 is 50631.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 19 ways as a sum of consecutive naturals, for example, 14547 + ... + 15453.

It is an arithmetic number, because the mean of its divisors is an integer number (531861).

Almost surely, 2^13605000 is an apocalyptic number.

13605000 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 13605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21274440).

13605000 is an abundant number, since it is smaller than the sum of its proper divisors (28943880).

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

13605000 is an equidigital number, since it uses as much as digits as its factorization.

13605000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13605000 is about 3688.4956283016. The cubic root of 13605000 is about 238.7258868404.

Adding to 13605000 its reverse (50631), we get a palindrome (13655631).

The spelling of 13605000 in words is "thirteen million, six hundred five thousand".