8013168 has 80 divisors (see below), whose sum is σ = 23386400. Its totient is φ = 2659392.

The previous prime is 8013157. The next prime is 8013233. The reversal of 8013168 is 8613108.

8013168 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8013168² = 128421722792448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 34878 + ... + 35106.

It is an arithmetic number, because the mean of its divisors is an integer number (292330).

Almost surely, 2^8013168 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 8013168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11693200).

8013168 is an abundant number, since it is smaller than the sum of its proper divisors (15373232).

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

8013168 is an equidigital number, since it uses as much as digits as its factorization.

8013168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8013168 is about 2830.7539631695. The cubic root of 8013168 is about 200.1096731813.

It can be divided in two parts, 801 and 3168, that added together give a square (3969 = 63²).

The spelling of 8013168 in words is "eight million, thirteen thousand, one hundred sixty-eight".