680563584 has 384 divisors, whose sum is σ = 2291328000. Its totient is φ = 192430080.

The previous prime is 680563579. The next prime is 680563589. The reversal of 680563584 is 485365086.

680563584 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 63 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (680563579) and next prime (680563589).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680563589) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11534947 + ... + 11535005.

It is an arithmetic number, because the mean of its divisors is an integer number (5967000).

Almost surely, 2^680563584 is an apocalyptic number.

680563584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145664000).

680563584 is an abundant number, since it is smaller than the sum of its proper divisors (1610764416).

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

680563584 is a wasteful number, since it uses less digits than its factorization.

680563584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 680563584 is about 26087.6136125940. The cubic root of 680563584 is about 879.6088068419.

The spelling of 680563584 in words is "six hundred eighty million, five hundred sixty-three thousand, five hundred eighty-four".