680576 has 32 divisors (see below), whose sum is σ = 1463700. Its totient is φ = 313344.

The previous prime is 680569. The next prime is 680587. The reversal of 680576 is 675086.

It can be written as a sum of positive squares in 2 ways, for example, as 678976 + 1600 = 824^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680576.

It is an unprimeable number.

680576 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 3 ways as a sum of consecutive naturals, for example, 1460 + ... + 1868.

2⁶⁸⁰⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731850).

680576 is an abundant number, since it is smaller than the sum of its proper divisors (783124).

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

680576 is a wasteful number, since it uses less digits than its factorization.

680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 680576 is about 824.9703024958. The cubic root of 680576 is about 87.9614155917.

The spelling of 680576 in words is "six hundred eighty thousand, five hundred seventy-six".