882336 has 96 divisors (see below), whose sum is σ = 2878848. Its totient is φ = 230400.

The previous prime is 882313. The next prime is 882359. The reversal of 882336 is 633288.

882336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (882313) and next prime (882359).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

882336 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 15 ways as a sum of consecutive naturals, for example, 8686 + ... + 8786.

It is an arithmetic number, because the mean of its divisors is an integer number (29988).

2⁸⁸²³³⁶ 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 882336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439424).

882336 is an abundant number, since it is smaller than the sum of its proper divisors (1996512).

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

882336 is a wasteful number, since it uses less digits than its factorization.

882336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 882336 is about 939.3274189546. The cubic root of 882336 is about 95.9131158342.

The spelling of 882336 in words is "eight hundred eighty-two thousand, three hundred thirty-six".