565830720 has 672 divisors, whose sum is σ = 2556223488. Its totient is φ = 111476736.

The previous prime is 565830701. The next prime is 565830721. The reversal of 565830720 is 27038565.

565830720 = 172³ + 173³ + ... + 236³.

565830720 is a `hidden beast` number, since 5 + 6 + 583 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565830721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4455297 + ... + 4455423.

It is an arithmetic number, because the mean of its divisors is an integer number (3803904).

Almost surely, 2^565830720 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 565830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278111744).

565830720 is an abundant number, since it is smaller than the sum of its proper divisors (1990392768).

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

565830720 is a wasteful number, since it uses less digits than its factorization.

565830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 565830720 is about 23787.1965561308. The cubic root of 565830720 is about 827.1079098896.

The spelling of 565830720 in words is "five hundred sixty-five million, eight hundred thirty thousand, seven hundred twenty".