82896 has 40 divisors (see below), whose sum is σ = 235104. Its totient is φ = 24960.

The previous prime is 82891. The next prime is 82903. The reversal of 82896 is 69828.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450 + ... + 606.

2⁸²⁸⁹⁶ 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 82896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117552).

82896 is an abundant number, since it is smaller than the sum of its proper divisors (152208).

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

82896 is a wasteful number, since it uses less digits than its factorization.

82896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 82896 is about 287.9166546068. The cubic root of 82896 is about 43.6024800093.

The spelling of 82896 in words is "eighty-two thousand, eight hundred ninety-six".