201591000 has 192 divisors, whose sum is σ = 734217120. Its totient is φ = 49593600.

The previous prime is 201590999. The next prime is 201591001. The reversal of 201591000 is 195102.

It is an interprime number because it is at equal distance from previous prime (201590999) and next prime (201591001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201591001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116139 + ... + 117861.

Almost surely, 2^201591000 is an apocalyptic number.

201591000 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 201591000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367108560).

201591000 is an abundant number, since it is smaller than the sum of its proper divisors (532626120).

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

201591000 is a wasteful number, since it uses less digits than its factorization.

201591000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 201591000 is about 14198.2745430563. The cubic root of 201591000 is about 586.3501578428.

The spelling of 201591000 in words is "two hundred one million, five hundred ninety-one thousand".