395568 has 60 divisors (see below), whose sum is σ = 1150968. Its totient is φ = 126720.

The previous prime is 395543. The next prime is 395581. The reversal of 395568 is 865593.

395568 is a `hidden beast` number, since 3 + 95 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5871 + ... + 5937.

2³⁹⁵⁵⁶⁸ 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 395568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575484).

395568 is an abundant number, since it is smaller than the sum of its proper divisors (755400).

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

395568 is a wasteful number, since it uses less digits than its factorization.

395568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 395568 is about 628.9419687062. The cubic root of 395568 is about 73.4074915572.

The spelling of 395568 in words is "three hundred ninety-five thousand, five hundred sixty-eight".