395968 has 28 divisors (see below), whose sum is σ = 822960. Its totient is φ = 188672.

The previous prime is 395959. The next prime is 395971. The reversal of 395968 is 869593.

It is a self number, because there is not a number n which added to its sum of digits gives 395968.

It is an unprimeable number.

395968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1338 + ... + 1606.

2³⁹⁵⁹⁶⁸ 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 395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411480).

395968 is an abundant number, since it is smaller than the sum of its proper divisors (426992).

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

395968 is a wasteful number, since it uses less digits than its factorization.

395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The square root of 395968 is about 629.2598827194. The cubic root of 395968 is about 73.4322265415.

The spelling of 395968 in words is "three hundred ninety-five thousand, nine hundred sixty-eight".