882090 has 84 divisors (see below), whose sum is σ = 2616642. Its totient is φ = 213840.

The previous prime is 882083. The next prime is 882103. The reversal of 882090 is 90288.

It can be written as a sum of positive squares in only one way, i.e., 793881 + 88209 = 891^2 + 297^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

882090 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 80185 + ... + 80195.

2⁸⁸²⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308321).

882090 is an abundant number, since it is smaller than the sum of its proper divisors (1734552).

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

882090 is a wasteful number, since it uses less digits than its factorization.

882090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 882090 is about 939.1964650700. The cubic root of 882090 is about 95.9042013090.

The spelling of 882090 in words is "eight hundred eighty-two thousand, ninety".