680456992 has 48 divisors (see below), whose sum is σ = 1377539352. Its totient is φ = 330670080.

The previous prime is 680456989. The next prime is 680456999. The reversal of 680456992 is 299654086.

It can be written as a sum of positive squares in 4 ways, for example, as 128958736 + 551498256 = 11356^2 + 23484^2 .

It is not an unprimeable number, because it can be changed into a prime (680456999) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 409828 + ... + 411484.

Almost surely, 2^680456992 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 680456992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688769676).

680456992 is an abundant number, since it is smaller than the sum of its proper divisors (697082360).

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

680456992 is a wasteful number, since it uses less digits than its factorization.

680456992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 680456992 is about 26085.5705707197. The cubic root of 680456992 is about 879.5628820821.

The spelling of 680456992 in words is "six hundred eighty million, four hundred fifty-six thousand, nine hundred ninety-two".