395688 has 16 divisors (see below), whose sum is σ = 989280. Its totient is φ = 131888.

The previous prime is 395687. The next prime is 395701. The reversal of 395688 is 886593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395687) by changing a digit.

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, 8220 + ... + 8267.

It is an arithmetic number, because the mean of its divisors is an integer number (61830).

2³⁹⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

395688 is an abundant number, since it is smaller than the sum of its proper divisors (593592).

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

395688 is a wasteful number, since it uses less digits than its factorization.

395688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16496 (or 16492 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 395688 is about 629.0373597808. The cubic root of 395688 is about 73.4149138026.

The spelling of 395688 in words is "three hundred ninety-five thousand, six hundred eighty-eight".