563968080 has 240 divisors, whose sum is σ = 2065649040. Its totient is φ = 137060352.

The previous prime is 563968057. The next prime is 563968099. The reversal of 563968080 is 80869365.

563968080 is a `hidden beast` number, since 5 + 639 + 6 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3415104 + 560552976 = 1848^2 + 23676^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 832702 + ... + 833378.

It is an arithmetic number, because the mean of its divisors is an integer number (8606871).

Almost surely, 2^563968080 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 563968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032824520).

563968080 is an abundant number, since it is smaller than the sum of its proper divisors (1501680960).

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

563968080 is a wasteful number, since it uses less digits than its factorization.

563968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 563968080 is about 23748.0121273339. The cubic root of 563968080 is about 826.1993355229.

The spelling of 563968080 in words is "five hundred sixty-three million, nine hundred sixty-eight thousand, eighty".