201880 has 48 divisors (see below), whose sum is σ = 533520. Its totient is φ = 68544.

The previous prime is 201847. The next prime is 201881. The reversal of 201880 is 88102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201881) by changing a digit.

201880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1909 + ... + 2011.

It is an arithmetic number, because the mean of its divisors is an integer number (11115).

2²⁰¹⁸⁸⁰ is an apocalyptic number.

201880 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 201880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266760).

201880 is an abundant number, since it is smaller than the sum of its proper divisors (331640).

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

201880 is a wasteful number, since it uses less digits than its factorization.

201880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 201880 is about 449.3105830047. The cubic root of 201880 is about 58.6630220417.

Adding to 201880 its reverse (88102), we get a palindrome (289982).

It can be divided in two parts, 201 and 880, that added together give a triangular number (1081 = T₄₆).

The spelling of 201880 in words is "two hundred one thousand, eight hundred eighty".