680638960 has 80 divisors (see below), whose sum is σ = 1627860096. Its totient is φ = 264536064.

The previous prime is 680638951. The next prime is 680638967. The reversal of 680638960 is 69836086.

It is a happy number.

680638960 is a nontrivial binomial coefficient, being equal to C(36896, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 680638960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680638967) 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, 589744 + ... + 590896.

Almost surely, 2^680638960 is an apocalyptic number.

680638960 is the 36895-th triangular number and also the 18448-th hexagonal number.

680638960 is the 12299-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813930048).

680638960 is an abundant number, since it is smaller than the sum of its proper divisors (947221136).

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

680638960 is a wasteful number, since it uses less digits than its factorization.

680638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 680638960 is about 26089.0582428726. The cubic root of 680638960 is about 879.6412794119.

The spelling of 680638960 in words is "six hundred eighty million, six hundred thirty-eight thousand, nine hundred sixty".