565816320 has 176 divisors, whose sum is σ = 2011300320. Its totient is φ = 150847488.

The previous prime is 565816289. The next prime is 565816351. The reversal of 565816320 is 23618565.

565816320 is a `hidden beast` number, since 56 + 581 + 6 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (565816289) and next prime (565816351).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 136194 + ... + 140286.

Almost surely, 2^565816320 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 565816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005650160).

565816320 is an abundant number, since it is smaller than the sum of its proper divisors (1445484000).

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

565816320 is a wasteful number, since it uses less digits than its factorization.

565816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 565816320 is about 23786.8938703648. The cubic root of 565816320 is about 827.1008933889.

The spelling of 565816320 in words is "five hundred sixty-five million, eight hundred sixteen thousand, three hundred twenty".