35168 has 24 divisors (see below), whose sum is σ = 79632. Its totient is φ = 14976.

The previous prime is 35159. The next prime is 35171. The reversal of 35168 is 86153.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

35168 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (3318).

2³⁵¹⁶⁸ 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 35168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39816).

35168 is an abundant number, since it is smaller than the sum of its proper divisors (44464).

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

35168 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (35167) it forms an eRAP, since the sums of their prime factors are consecutive (173 and 174).

35168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 35168 is about 187.5313307157. The cubic root of 35168 is about 32.7629166461.

The spelling of 35168 in words is "thirty-five thousand, one hundred sixty-eight".