80168 has 16 divisors (see below), whose sum is σ = 164160. Its totient is φ = 36400.

The previous prime is 80167. The next prime is 80173. The reversal of 80168 is 86108.

80168 = T₉₂ + T₉₃ + ... + T₁₀₇.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (80167) 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 3 ways as a sum of consecutive naturals, for example, 368 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2⁸⁰¹⁶⁸ is an apocalyptic number.

80168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

80168 is an abundant number, since it is smaller than the sum of its proper divisors (83992).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

80168 is a wasteful number, since it uses less digits than its factorization.

80168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 80168 is about 283.1395415692. The cubic root of 80168 is about 43.1188347974.

The spelling of 80168 in words is "eighty thousand, one hundred sixty-eight".