395168 has 24 divisors (see below), whose sum is σ = 796068. Its totient is φ = 193024.

The previous prime is 395159. The next prime is 395173. The reversal of 395168 is 861593.

It can be written as a sum of positive squares in 2 ways, for example, as 394384 + 784 = 628^2 + 28^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 1580 + ... + 1812.

2³⁹⁵¹⁶⁸ 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 395168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398034).

395168 is an abundant number, since it is smaller than the sum of its proper divisors (400900).

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

395168 is a wasteful number, since it uses less digits than its factorization.

395168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 395168 is about 628.6238939143. The cubic root of 395168 is about 73.3827398925.

The spelling of 395168 in words is "three hundred ninety-five thousand, one hundred sixty-eight".