395664 has 20 divisors (see below), whose sum is σ = 1022256. Its totient is φ = 131872.

The previous prime is 395657. The next prime is 395671. The reversal of 395664 is 466593.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (395657) and next prime (395671).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395664.

It is an unprimeable number.

395664 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, 4074 + ... + 4169.

2³⁹⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

395664 is an abundant number, since it is smaller than the sum of its proper divisors (626592).

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

395664 is a wasteful number, since it uses less digits than its factorization.

395664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8248 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 395664 is about 629.0182827232. The cubic root of 395664 is about 73.4134294736.

The spelling of 395664 in words is "three hundred ninety-five thousand, six hundred sixty-four".