564865600 has 126 divisors (see below), whose sum is σ = 1505784390. Its totient is φ = 208465920.

The previous prime is 564865541. The next prime is 564865603. The reversal of 564865600 is 6568465.

It can be written as a sum of positive squares in 9 ways, for example, as 239135296 + 325730304 = 15464^2 + 18048^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (564865603) 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 17 ways as a sum of consecutive naturals, for example, 269356 + ... + 271444.

Almost surely, 2^564865600 is an apocalyptic number.

564865600 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 564865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752892195).

564865600 is an abundant number, since it is smaller than the sum of its proper divisors (940918790).

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

564865600 is a wasteful number, since it uses less digits than its factorization.

564865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 564865600 is about 23766.9013546150. The cubic root of 564865600 is about 826.6373847878.

The spelling of 564865600 in words is "five hundred sixty-four million, eight hundred sixty-five thousand, six hundred".