565668000 has 288 divisors, whose sum is σ = 2115771840. Its totient is φ = 142732800.

The previous prime is 565667989. The next prime is 565668007. The reversal of 565668000 is 866565.

It is a tau number, because it is divible by the number of its divisors (288).

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 (565668007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683587 + ... + 684413.

It is an arithmetic number, because the mean of its divisors is an integer number (7346430).

Almost surely, 2^565668000 is an apocalyptic number.

565668000 is a gapful number since it is divisible by the number (50) 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 565668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057885920).

565668000 is an abundant number, since it is smaller than the sum of its proper divisors (1550103840).

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

565668000 is a wasteful number, since it uses less digits than its factorization.

565668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 565668000 is about 23783.7759827997. The cubic root of 565668000 is about 827.0286165027.

The spelling of 565668000 in words is "five hundred sixty-five million, six hundred sixty-eight thousand".