565227936 has 432 divisors, whose sum is σ = 2102889600. Its totient is φ = 147184128.

The previous prime is 565227919. The next prime is 565227937. The reversal of 565227936 is 639722565.

565227936 = 195³ + 196³ + ... + 246³.

565227936 is a `hidden beast` number, since 56 + 522 + 79 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 565227891 and 565227900.

It is not an unprimeable number, because it can be changed into a prime (565227937) 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 71 ways as a sum of consecutive naturals, for example, 7154745 + ... + 7154823.

It is an arithmetic number, because the mean of its divisors is an integer number (4867800).

Almost surely, 2^565227936 is an apocalyptic number.

565227936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565227936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051444800).

565227936 is an abundant number, since it is smaller than the sum of its proper divisors (1537661664).

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

565227936 is a wasteful number, since it uses less digits than its factorization.

565227936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 565227936 is about 23774.5228343283. The cubic root of 565227936 is about 826.8140973032.

The spelling of 565227936 in words is "five hundred sixty-five million, two hundred twenty-seven thousand, nine hundred thirty-six".