680085 has 48 divisors (see below), whose sum is σ = 1437696. Its totient is φ = 290304.

The previous prime is 680083. The next prime is 680107. The reversal of 680085 is 580086.

It is not a de Polignac number, because 680085 - 2¹ = 680083 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5292 + ... + 5418.

It is an arithmetic number, because the mean of its divisors is an integer number (29952).

2⁶⁸⁰⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

680085 is an abundant number, since it is smaller than the sum of its proper divisors (757611).

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

680085 is a wasteful number, since it uses less digits than its factorization.

680085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 680085 is about 824.6726623334. The cubic root of 680085 is about 87.9402573152.

Subtracting from 680085 its reverse (580086), we obtain a palindrome (99999).

The spelling of 680085 in words is "six hundred eighty thousand, eighty-five".