680911 has 16 divisors (see below), whose sum is σ = 875520. Its totient is φ = 514080.

The previous prime is 680881. The next prime is 680917. The reversal of 680911 is 119086.

680911 = 214² + 215² + ... + 227².

It is not a de Polignac number, because 680911 - 2⁵ = 680879 is a prime.

It is a Duffinian number.

680911 is a Rhonda number in base 8.

680911 is a lucky number.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730 + ... + 2968.

It is an arithmetic number, because the mean of its divisors is an integer number (54720).

2⁶⁸⁰⁹¹¹ is an apocalyptic number.

680911 is a deficient number, since it is larger than the sum of its proper divisors (194609).

680911 is a wasteful number, since it uses less digits than its factorization.

680911 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 680911 is about 825.1733151284. The cubic root of 680911 is about 87.9758456434.

Adding to 680911 its reverse (119086), we get a palindrome (799997).

The spelling of 680911 in words is "six hundred eighty thousand, nine hundred eleven".