90882 has 48 divisors (see below), whose sum is σ = 235872. Its totient is φ = 25920.

The previous prime is 90863. The next prime is 90887. The reversal of 90882 is 28809.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90887) by changing a digit.

90882 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 23 ways as a sum of consecutive naturals, for example, 5338 + ... + 5354.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2⁹⁰⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

90882 is an abundant number, since it is smaller than the sum of its proper divisors (144990).

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

90882 is a wasteful number, since it uses less digits than its factorization.

90882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 33 counting only the distinct ones).

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

The square root of 90882 is about 301.4664160400. The cubic root of 90882 is about 44.9599643917.

Adding to 90882 its sum of digits (27), we get a palindrome (90909).

It can be divided in two parts, 908 and 82, that added together give a triangular number (990 = T₄₄).

The spelling of 90882 in words is "ninety thousand, eight hundred eighty-two".