684085 has 16 divisors (see below), whose sum is σ = 870912. Its totient is φ = 515200.

The previous prime is 684053. The next prime is 684091. The reversal of 684085 is 580486.

It is not a de Polignac number, because 684085 - 2⁵ = 684053 is a prime.

It is a Duffinian number.

684085 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9600 + ... + 9670.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2⁶⁸⁴⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

684085 is a deficient number, since it is larger than the sum of its proper divisors (186827).

684085 is a wasteful number, since it uses less digits than its factorization.

684085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 684085 is about 827.0943114301. The cubic root of 684085 is about 88.1123307240.

It can be divided in two parts, 6 and 84085, that multiplied together give a triangular number (504510 = T₁₀₀₄).

The spelling of 684085 in words is "six hundred eighty-four thousand, eighty-five".