680519 has 8 divisors (see below), whose sum is σ = 789888. Its totient is φ = 574200.

The previous prime is 680509. The next prime is 680531. The reversal of 680519 is 915086.

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 680519 - 2⁴ = 680503 is a prime.

It is a super-5 number, since 5×680519⁵ (a number of 30 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 680491 and 680500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680509) 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, 257 + ... + 1194.

It is an arithmetic number, because the mean of its divisors is an integer number (98736).

2⁶⁸⁰⁵¹⁹ is an apocalyptic number.

680519 is a deficient number, since it is larger than the sum of its proper divisors (109369).

680519 is a wasteful number, since it uses less digits than its factorization.

680519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 680519 is about 824.9357550743. The cubic root of 680519 is about 87.9589598578.

The spelling of 680519 in words is "six hundred eighty thousand, five hundred nineteen".