13585000 has 160 divisors (see below), whose sum is σ = 39362400. Its totient is φ = 4320000.

The previous prime is 13584971. The next prime is 13585001. The reversal of 13585000 is 58531.

13585000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (13585001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 714991 + ... + 715009.

It is an arithmetic number, because the mean of its divisors is an integer number (246015).

Almost surely, 2^13585000 is an apocalyptic number.

13585000 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 13585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681200).

13585000 is an abundant number, since it is smaller than the sum of its proper divisors (25777400).

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

13585000 is a wasteful number, since it uses less digits than its factorization.

13585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 13585000 is about 3685.7834987964. The cubic root of 13585000 is about 238.6088499854.

The spelling of 13585000 in words is "thirteen million, five hundred eighty-five thousand".