680137 has 8 divisors (see below), whose sum is σ = 720000. Its totient is φ = 641424.

The previous prime is 680129. The next prime is 680159. The reversal of 680137 is 731086.

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 680137 - 2³ = 680129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (680107) 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, 1114 + ... + 1612.

It is an arithmetic number, because the mean of its divisors is an integer number (90000).

2⁶⁸⁰¹³⁷ is an apocalyptic number.

It is an amenable number.

680137 is a deficient number, since it is larger than the sum of its proper divisors (39863).

680137 is a wasteful number, since it uses less digits than its factorization.

680137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 680137 is about 824.7041893916. The cubic root of 680137 is about 87.9424985923.

The spelling of 680137 in words is "six hundred eighty thousand, one hundred thirty-seven".