684306 has 24 divisors (see below), whose sum is σ = 1694784. Its totient is φ = 195480.

The previous prime is 684293. The next prime is 684311. The reversal of 684306 is 603486.

It is a self number, because there is not a number n which added to its sum of digits gives 684306.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684306.

It is an unprimeable number.

684306 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 11 ways as a sum of consecutive naturals, for example, 2590 + ... + 2841.

It is an arithmetic number, because the mean of its divisors is an integer number (70616).

2⁶⁸⁴³⁰⁶ is an apocalyptic number.

684306 is an abundant number, since it is smaller than the sum of its proper divisors (1010478).

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

684306 is a wasteful number, since it uses less digits than its factorization.

684306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 684306 is about 827.2279008834. The cubic root of 684306 is about 88.1218182041.

It can be divided in two parts, 684 and 306, that added together give a triangular number (990 = T₄₄).

The spelling of 684306 in words is "six hundred eighty-four thousand, three hundred six".