395680 has 24 divisors (see below), whose sum is σ = 935172. Its totient is φ = 158208.

The previous prime is 395677. The next prime is 395687. The reversal of 395680 is 86593.

It can be written as a sum of positive squares in 2 ways, for example, as 394384 + 1296 = 628^2 + 36^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1077 + ... + 1396.

2³⁹⁵⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

395680 is an abundant number, since it is smaller than the sum of its proper divisors (539492).

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

395680 is a wasteful number, since it uses less digits than its factorization.

395680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 395680 is about 629.0310008259. The cubic root of 395680 is about 73.4144190330.

The spelling of 395680 in words is "three hundred ninety-five thousand, six hundred eighty".