882288 has 60 divisors (see below), whose sum is σ = 2698488. Its totient is φ = 266880.

The previous prime is 882263. The next prime is 882289.

882288 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×882288² = 1556864229888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1306 + ... + 1862.

2⁸⁸²²⁸⁸ is an apocalyptic number.

882288 is a gapful number since it is divisible by the number (88) 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 882288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349244).

882288 is an abundant number, since it is smaller than the sum of its proper divisors (1816200).

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

882288 is a wasteful number, since it uses less digits than its factorization.

882288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 573 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 882288 is about 939.3018684108. The cubic root of 882288 is about 95.9113765448.

It can be divided in two parts, 882 and 288, that multiplied together give a square (254016 = 504²).

The spelling of 882288 in words is "eight hundred eighty-two thousand, two hundred eighty-eight".