680288544 has 180 divisors, whose sum is σ = 2167843986. Its totient is φ = 209184768.

The previous prime is 680288527. The next prime is 680288561. The reversal of 680288544 is 445882086.

680288544 is a `hidden beast` number, since 6 + 80 + 28 + 8 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (680288527) and next prime (680288561).

It can be written as a sum of positive squares in 3 ways, for example, as 190108944 + 490179600 = 13788^2 + 22140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 680288544.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 437272 + ... + 438824.

Almost surely, 2^680288544 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 680288544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083921993).

680288544 is an abundant number, since it is smaller than the sum of its proper divisors (1487555442).

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

680288544 is a wasteful number, since it uses less digits than its factorization.

680288544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 680288544 is about 26082.3416126697. The cubic root of 680288544 is about 879.4902971196.

The spelling of 680288544 in words is "six hundred eighty million, two hundred eighty-eight thousand, five hundred forty-four".