565216560 has 240 divisors, whose sum is σ = 2027251200. Its totient is φ = 140714496.

The previous prime is 565216549. The next prime is 565216567. The reversal of 565216560 is 65612565.

It is a happy number.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (565216567) 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, 1080459 + ... + 1080981.

It is an arithmetic number, because the mean of its divisors is an integer number (8446880).

Almost surely, 2^565216560 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 565216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013625600).

565216560 is an abundant number, since it is smaller than the sum of its proper divisors (1462034640).

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

565216560 is a wasteful number, since it uses less digits than its factorization.

565216560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 565216560 is about 23774.2835854206. The cubic root of 565216560 is about 826.8085503373.

The spelling of 565216560 in words is "five hundred sixty-five million, two hundred sixteen thousand, five hundred sixty".