680259072 has 80 divisors (see below), whose sum is σ = 1821169152. Its totient is φ = 225638400.

The previous prime is 680259049. The next prime is 680259079. The reversal of 680259072 is 270952086.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 680259072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680259079) 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, 347697 + ... + 349647.

Almost surely, 2^680259072 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 680259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910584576).

680259072 is an abundant number, since it is smaller than the sum of its proper divisors (1140910080).

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

680259072 is a wasteful number, since it uses less digits than its factorization.

680259072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 680259072 is about 26081.7766266027. The cubic root of 680259072 is about 879.4775962774.

The spelling of 680259072 in words is "six hundred eighty million, two hundred fifty-nine thousand, seventy-two".