680127 has 16 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 384192.

The previous prime is 680123. The next prime is 680129. The reversal of 680127 is 721086.

It is not a de Polignac number, because 680127 - 2² = 680123 is a prime.

It is a super-2 number, since 2×680127² = 925145472258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 680097 and 680106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803 + ... + 3035.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2⁶⁸⁰¹²⁷ is an apocalyptic number.

680127 is a deficient number, since it is larger than the sum of its proper divisors (368193).

680127 is a wasteful number, since it uses less digits than its factorization.

680127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 680127 is about 824.6981265894. The cubic root of 680127 is about 87.9420675864.

The spelling of 680127 in words is "six hundred eighty thousand, one hundred twenty-seven".