805968 has 60 divisors (see below), whose sum is σ = 2345460. Its totient is φ = 258048.

The previous prime is 805967. The next prime is 805991. The reversal of 805968 is 869508.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 501264 = 552^2 + 708^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805967) 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 11 ways as a sum of consecutive naturals, for example, 4080 + ... + 4272.

It is an arithmetic number, because the mean of its divisors is an integer number (39091).

2⁸⁰⁵⁹⁶⁸ 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 805968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172730).

805968 is an abundant number, since it is smaller than the sum of its proper divisors (1539492).

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

805968 is a wasteful number, since it uses less digits than its factorization.

805968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 805968 is about 897.7572054849. The cubic root of 805968 is about 93.0620466978.

The spelling of 805968 in words is "eight hundred five thousand, nine hundred sixty-eight".