680193 has 6 divisors (see below), whose sum is σ = 982514. Its totient is φ = 453456.

The previous prime is 680189. The next prime is 680203. The reversal of 680193 is 391086.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 178929 = 708^2 + 423^2 .

It is not a de Polignac number, because 680193 - 2² = 680189 is a prime.

It is a Duffinian number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37780 + ... + 37797.

2⁶⁸⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

680193 is a deficient number, since it is larger than the sum of its proper divisors (302321).

680193 is a wasteful number, since it uses less digits than its factorization.

680193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75583 (or 75580 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 680193 is about 824.7381402603. The cubic root of 680193 is about 87.9449121476.

The spelling of 680193 in words is "six hundred eighty thousand, one hundred ninety-three".