802896 has 40 divisors (see below), whose sum is σ = 2127840. Its totient is φ = 260736.

The previous prime is 802873. The next prime is 802909. The reversal of 802896 is 698208.

It is a congruent number.

It is an unprimeable number.

802896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1870 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (53196).

802896 is a Friedman number, since it can be written as 896^2+80, using all its digits and the basic arithmetic operations.

2⁸⁰²⁸⁹⁶ is an apocalyptic number.

802896 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 802896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063920).

802896 is an abundant number, since it is smaller than the sum of its proper divisors (1324944).

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

802896 is a wasteful number, since it uses less digits than its factorization.

802896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

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

The square root of 802896 is about 896.0446417450. The cubic root of 802896 is about 92.9436587868.

The spelling of 802896 in words is "eight hundred two thousand, eight hundred ninety-six".