168368 has 20 divisors (see below), whose sum is σ = 345960. Its totient is φ = 79104.

The previous prime is 168353. The next prime is 168391. The reversal of 168368 is 863861.

168368 = T₁₃₇ + T₁₃₈ + ... + T₁₅₂.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

168368 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 3 ways as a sum of consecutive naturals, for example, 38 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (17298).

2¹⁶⁸³⁶⁸ is an apocalyptic number.

It is an amenable number.

168368 is an abundant number, since it is smaller than the sum of its proper divisors (177592).

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

168368 is a wasteful number, since it uses less digits than its factorization.

168368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 168368 is about 410.3266991069. The cubic root of 168368 is about 55.2187431974.

The spelling of 168368 in words is "one hundred sixty-eight thousand, three hundred sixty-eight".