680361 has 16 divisors (see below), whose sum is σ = 1010880. Its totient is φ = 403520.

The previous prime is 680353. The next prime is 680377. The reversal of 680361 is 163086.

680361 = T₁₃₃ + T₁₃₄ + ... + T₁₈₅.

680361 is a nontrivial binomial coefficient, being equal to C(1167, 2).

It is a cyclic number.

It is not a de Polignac number, because 680361 - 2³ = 680353 is a prime.

680361 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680361.

It is not an unprimeable number, because it can be changed into a prime (680321) 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, 1555 + ... + 1943.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

2⁶⁸⁰³⁶¹ is an apocalyptic number.

680361 is the 1166-th triangular number.

It is an amenable number.

680361 is a deficient number, since it is larger than the sum of its proper divisors (330519).

680361 is a wasteful number, since it uses less digits than its factorization.

680361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 680361 is about 824.8399844818. The cubic root of 680361 is about 87.9521520188.

The spelling of 680361 in words is "six hundred eighty thousand, three hundred sixty-one".