680641 has 8 divisors (see below), whose sum is σ = 751464. Its totient is φ = 612480.

The previous prime is 680633. The next prime is 680651. The reversal of 680641 is 146086.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 680625 = 4^2 + 825^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 680641 - 2³ = 680633 is a prime.

It is a Duffinian number.

680641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (680611) 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, 106 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (93933).

2⁶⁸⁰⁶⁴¹ is an apocalyptic number.

It is an amenable number.

680641 is a deficient number, since it is larger than the sum of its proper divisors (70823).

680641 is a wasteful number, since it uses less digits than its factorization.

680641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 680641 is about 825.0096969127. The cubic root of 680641 is about 87.9642158227.

The spelling of 680641 in words is "six hundred eighty thousand, six hundred forty-one".