680616 has 64 divisors (see below), whose sum is σ = 1987200. Its totient is φ = 215424.

The previous prime is 680611. The next prime is 680623. The reversal of 680616 is 616086.

680616 = T₂₃ + T₂₄ + ... + T₁₅₉.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 680616.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680616.

It is not an unprimeable number, because it can be changed into a prime (680611) by changing a digit.

680616 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4900 + ... + 5036.

It is an arithmetic number, because the mean of its divisors is an integer number (31050).

2⁶⁸⁰⁶¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993600).

680616 is an abundant number, since it is smaller than the sum of its proper divisors (1306584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

680616 is a wasteful number, since it uses less digits than its factorization.

680616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 680616 is about 824.9945454365. The cubic root of 680616 is about 87.9631388318.

It can be divided in two parts, 680 and 616, that added together give a 4-th power (1296 = 6⁴).

The spelling of 680616 in words is "six hundred eighty thousand, six hundred sixteen".