566997600 has 288 divisors, whose sum is σ = 2106427680. Its totient is φ = 131235840.

The previous prime is 566997503. The next prime is 566997631. The reversal of 566997600 is 6799665.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 566997600.

It is a congruent number.

It is an unprimeable number.

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, 529866 + ... + 530934.

It is an arithmetic number, because the mean of its divisors is an integer number (7313985).

Almost surely, 2^566997600 is an apocalyptic number.

566997600 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 566997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053213840).

566997600 is an abundant number, since it is smaller than the sum of its proper divisors (1539430080).

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

566997600 is a wasteful number, since it uses less digits than its factorization.

566997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 566997600 is about 23811.7114042649. The cubic root of 566997600 is about 827.6760851141.

The spelling of 566997600 in words is "five hundred sixty-six million, nine hundred ninety-seven thousand, six hundred".