201580 has 12 divisors (see below), whose sum is σ = 423360. Its totient is φ = 80624.

The previous prime is 201577. The next prime is 201581. The reversal of 201580 is 85102.

It is a happy number.

201580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5020 + ... + 5059.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2²⁰¹⁵⁸⁰ is an apocalyptic number.

201580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201580 is an abundant number, since it is smaller than the sum of its proper divisors (221780).

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

201580 is a wasteful number, since it uses less digits than its factorization.

201580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 201580 is about 448.9766140903. The cubic root of 201580 is about 58.6339492735.

Adding to 201580 its reverse (85102), we get a palindrome (286682).

It can be divided in two parts, 20 and 1580, that added together give a square (1600 = 40²).

The spelling of 201580 in words is "two hundred one thousand, five hundred eighty".