680953 has 12 divisors (see below), whose sum is σ = 853860. Its totient is φ = 538272.

The previous prime is 680929. The next prime is 680959. The reversal of 680953 is 359086.

680953 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 480249 = 448^2 + 693^2 .

It is not a de Polignac number, because 680953 - 2⁹ = 680441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (680959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (71155).

2⁶⁸⁰⁹⁵³ is an apocalyptic number.

It is an amenable number.

680953 is a deficient number, since it is larger than the sum of its proper divisors (172907).

680953 is a wasteful number, since it uses less digits than its factorization.

680953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 680953 is about 825.1987639351. The cubic root of 680953 is about 87.9776544503.

The spelling of 680953 in words is "six hundred eighty thousand, nine hundred fifty-three".