393168 has 20 divisors (see below), whose sum is σ = 1015808. Its totient is φ = 131040.

The previous prime is 393161. The next prime is 393181. The reversal of 393168 is 861393.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4048 + ... + 4143.

2³⁹³¹⁶⁸ is an apocalyptic number.

It is an amenable number.

393168 is an abundant number, since it is smaller than the sum of its proper divisors (622640).

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

393168 is a wasteful number, since it uses less digits than its factorization.

393168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8196 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 393168 is about 627.0310997072. The cubic root of 393168 is about 73.2587303754.

It can be divided in two parts, 393 and 168, that added together give a triangular number (561 = T₃₃).

The spelling of 393168 in words is "three hundred ninety-three thousand, one hundred sixty-eight".