805168 has 60 divisors (see below), whose sum is σ = 1979040. Its totient is φ = 314496.

The previous prime is 805159. The next prime is 805177. The reversal of 805168 is 861508.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (805159) and next prime (805177).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

805168 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10153 + ... + 10231.

It is an arithmetic number, because the mean of its divisors is an integer number (32984).

2⁸⁰⁵¹⁶⁸ 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 805168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989520).

805168 is an abundant number, since it is smaller than the sum of its proper divisors (1173872).

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

805168 is a wasteful number, since it uses less digits than its factorization.

805168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 805168 is about 897.3115401019. The cubic root of 805168 is about 93.0312455231.

The spelling of 805168 in words is "eight hundred five thousand, one hundred sixty-eight".