680961 has 16 divisors (see below), whose sum is σ = 967680. Its totient is φ = 425040.

The previous prime is 680959. The next prime is 680971. The reversal of 680961 is 169086.

It is not a de Polignac number, because 680961 - 2¹ = 680959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (680971) 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, 4830 + ... + 4968.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

It is a Proth number, since it is equal to 665 ⋅ 2¹⁰ + 1 and 665 < 2¹⁰.

2⁶⁸⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

680961 is a deficient number, since it is larger than the sum of its proper divisors (286719).

680961 is a wasteful number, since it uses less digits than its factorization.

680961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 680961 is about 825.2036112379. The cubic root of 680961 is about 87.9779989765.

The spelling of 680961 in words is "six hundred eighty thousand, nine hundred sixty-one".