680577 has 8 divisors (see below), whose sum is σ = 922560. Its totient is φ = 446160.

The previous prime is 680569. The next prime is 680587. The reversal of 680577 is 775086.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 680577 - 2³ = 680569 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680577.

It is not an unprimeable number, because it can be changed into a prime (680507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1677 + ... + 2042.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

2⁶⁸⁰⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

680577 is a deficient number, since it is larger than the sum of its proper divisors (241983).

680577 is a wasteful number, since it uses less digits than its factorization.

680577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 680577 is about 824.9709085780. The cubic root of 680577 is about 87.9614586735.

The spelling of 680577 in words is "six hundred eighty thousand, five hundred seventy-seven".