801159168 has 96 divisors (see below), whose sum is σ = 2248646400. Its totient is φ = 252960768.

The previous prime is 801159137. The next prime is 801159179. The reversal of 801159168 is 861951108.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113305 + ... + 120167.

It is an arithmetic number, because the mean of its divisors is an integer number (23423400).

Almost surely, 2^801159168 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 801159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124323200).

801159168 is an abundant number, since it is smaller than the sum of its proper divisors (1447487232).

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

801159168 is a wasteful number, since it uses less digits than its factorization.

801159168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The square root of 801159168 is about 28304.7552188674. The cubic root of 801159168 is about 928.7659154461.

The spelling of 801159168 in words is "eight hundred one million, one hundred fifty-nine thousand, one hundred sixty-eight".