882016 has 24 divisors (see below), whose sum is σ = 1779624. Its totient is φ = 430080.

The previous prime is 881987. The next prime is 882017. The reversal of 882016 is 610288.

882016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882017) by changing a digit.

882016 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 3 ways as a sum of consecutive naturals, for example, 1056 + ... + 1696.

It is an arithmetic number, because the mean of its divisors is an integer number (74151).

2⁸⁸²⁰¹⁶ is an apocalyptic number.

882016 is a gapful number since it is divisible by the number (86) 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 882016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889812).

882016 is an abundant number, since it is smaller than the sum of its proper divisors (897608).

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

882016 is a wasteful number, since it uses less digits than its factorization.

882016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 882016 is about 939.1570688655. The cubic root of 882016 is about 95.9015193796.

It can be divided in two parts, 8820 and 16, that added together give a square (8836 = 94²).

The spelling of 882016 in words is "eight hundred eighty-two thousand, sixteen".