680188752 has 200 divisors, whose sum is σ = 2164176960. Its totient is φ = 205286400.

The previous prime is 680188741. The next prime is 680188801. The reversal of 680188752 is 257881086.

It is a junction number, because it is equal to n+sod(n) for n = 680188698 and 680188707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 565752 + ... + 566952.

Almost surely, 2^680188752 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 680188752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082088480).

680188752 is an abundant number, since it is smaller than the sum of its proper divisors (1483988208).

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

680188752 is a wasteful number, since it uses less digits than its factorization.

680188752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 680188752 is about 26080.4285240868. The cubic root of 680188752 is about 879.4472906687.

The spelling of 680188752 in words is "six hundred eighty million, one hundred eighty-eight thousand, seven hundred fifty-two".