565856640 has 192 divisors, whose sum is σ = 2017641600. Its totient is φ = 145981440.

The previous prime is 565856593. The next prime is 565856647. The reversal of 565856640 is 46658565.

It is a happy number.

565856640 is a `hidden beast` number, since 5 + 6 + 585 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565856647) 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 23 ways as a sum of consecutive naturals, for example, 176976 + ... + 180144.

It is an arithmetic number, because the mean of its divisors is an integer number (10508550).

Almost surely, 2^565856640 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 565856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008820800).

565856640 is an abundant number, since it is smaller than the sum of its proper divisors (1451784960).

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

565856640 is a wasteful number, since it uses less digits than its factorization.

565856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 565856640 is about 23787.7413808037. The cubic root of 565856640 is about 827.1205392909.

The spelling of 565856640 in words is "five hundred sixty-five million, eight hundred fifty-six thousand, six hundred forty".