684580 has 24 divisors (see below), whose sum is σ = 1548792. Its totient is φ = 252672.

The previous prime is 684569. The next prime is 684581. The reversal of 684580 is 85486.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 682276 = 48^2 + 826^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057 + ... + 1576.

It is an arithmetic number, because the mean of its divisors is an integer number (64533).

2⁶⁸⁴⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

684580 is an abundant number, since it is smaller than the sum of its proper divisors (864212).

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

684580 is a wasteful number, since it uses less digits than its factorization.

684580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2653 counting only the distinct ones).

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

The square root of 684580 is about 827.3934976781. The cubic root of 684580 is about 88.1335781265.

It can be divided in two parts, 6845 and 80, that multiplied together give a square (547600 = 740²).

The spelling of 684580 in words is "six hundred eighty-four thousand, five hundred eighty".