566866080 has 384 divisors, whose sum is σ = 2206310400. Its totient is φ = 134784000.

The previous prime is 566866063. The next prime is 566866081. The reversal of 566866080 is 80668665.

566866080 is a `hidden beast` number, since 566 + 8 + 6 + 6 + 0 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (566866081) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3754005 + ... + 3754155.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2^566866080 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 566866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103155200).

566866080 is an abundant number, since it is smaller than the sum of its proper divisors (1639444320).

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

566866080 is a wasteful number, since it uses less digits than its factorization.

566866080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 566866080 is about 23808.9495778373. The cubic root of 566866080 is about 827.6120846219.

The spelling of 566866080 in words is "five hundred sixty-six million, eight hundred sixty-six thousand, eighty".