201585000 has 160 divisors (see below), whose sum is σ = 641044800. Its totient is φ = 52800000.

The previous prime is 201584993. The next prime is 201585019. The reversal of 201585000 is 585102.

201585000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1334925 + ... + 1335075.

It is an arithmetic number, because the mean of its divisors is an integer number (4006530).

Almost surely, 2^201585000 is an apocalyptic number.

201585000 is a gapful number since it is divisible by the number (20) 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 201585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320522400).

201585000 is an abundant number, since it is smaller than the sum of its proper divisors (439459800).

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

201585000 is a wasteful number, since it uses less digits than its factorization.

201585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 201585000 is about 14198.0632482040. The cubic root of 201585000 is about 586.3443405596.

The spelling of 201585000 in words is "two hundred one million, five hundred eighty-five thousand".