882180 has 108 divisors (see below), whose sum is σ = 2997540. Its totient is φ = 209664.

The previous prime is 882179. The next prime is 882187. The reversal of 882180 is 81288.

It can be written as a sum of positive squares in 6 ways, for example, as 166464 + 715716 = 408^2 + 846^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882187) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30406 + ... + 30434.

It is an arithmetic number, because the mean of its divisors is an integer number (27755).

2⁸⁸²¹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498770).

882180 is an abundant number, since it is smaller than the sum of its proper divisors (2115360).

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

882180 is a wasteful number, since it uses less digits than its factorization.

882180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 882180 is about 939.2443771458. The cubic root of 882180 is about 95.9074629129.

The spelling of 882180 in words is "eight hundred eighty-two thousand, one hundred eighty".