680248128 has 224 divisors, whose sum is σ = 2200412160. Its totient is φ = 181278720.

The previous prime is 680248117. The next prime is 680248141. The reversal of 680248128 is 821842086.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207975 + ... + 1208537.

Almost surely, 2^680248128 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 680248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100206080).

680248128 is an abundant number, since it is smaller than the sum of its proper divisors (1520164032).

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

680248128 is a wasteful number, since it uses less digits than its factorization.

680248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 680248128 is about 26081.5668241001. The cubic root of 680248128 is about 879.4728799103.

The spelling of 680248128 in words is "six hundred eighty million, two hundred forty-eight thousand, one hundred twenty-eight".