396168 has 32 divisors (see below), whose sum is σ = 1049760. Its totient is φ = 124160.

The previous prime is 396157. The next prime is 396173. The reversal of 396168 is 861693.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 78 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (32805).

2³⁹⁶¹⁶⁸ 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 396168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524880).

396168 is an abundant number, since it is smaller than the sum of its proper divisors (653592).

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

396168 is a wasteful number, since it uses less digits than its factorization.

396168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 396168 is about 629.4187795101. The cubic root of 396168 is about 73.4445877873. Note that the first 3 decimals are identical.

The spelling of 396168 in words is "three hundred ninety-six thousand, one hundred sixty-eight".