565000920 has 320 divisors, whose sum is σ = 2107607040. Its totient is φ = 134611200.

The previous prime is 565000907. The next prime is 565000949. The reversal of 565000920 is 29000565.

565000920 is a `hidden beast` number, since 5 + 650 + 0 + 0 + 9 + 2 + 0 = 666.

565000920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

565000920 is a nontrivial binomial coefficient, being equal to C(33616, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2958025 + ... + 2958215.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2^565000920 is an apocalyptic number.

565000920 is the 33615-th triangular number and also the 16808-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

565000920 is an abundant number, since it is smaller than the sum of its proper divisors (1542606120).

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

565000920 is a wasteful number, since it uses less digits than its factorization.

565000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 565000920 is about 23769.7480003470. The cubic root of 565000920 is about 826.7033896566.

The spelling of 565000920 in words is "five hundred sixty-five million, nine hundred twenty", and thus it is an aban number.