567648000 has 432 divisors, whose sum is σ = 2147230176. Its totient is φ = 149299200.

The previous prime is 567647953. The next prime is 567648007. The reversal of 567648000 is 846765.

It is a happy number.

567648000 is a `hidden beast` number, since 5 + 6 + 7 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (567648007) 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, 7775964 + ... + 7776036.

Almost surely, 2^567648000 is an apocalyptic number.

567648000 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 567648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073615088).

567648000 is an abundant number, since it is smaller than the sum of its proper divisors (1579582176).

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

567648000 is an frugal number, since it uses more digits than its factorization.

567648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 567648000 is about 23825.3646351950. The cubic root of 567648000 is about 827.9924384943.

The spelling of 567648000 in words is "five hundred sixty-seven million, six hundred forty-eight thousand".