564996960 has 288 divisors, whose sum is σ = 2146199328. Its totient is φ = 134184960.

The previous prime is 564996959. The next prime is 564996983. The reversal of 564996960 is 69699465.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 564996897 and 564996906.

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, 839184 + ... + 839856.

It is an arithmetic number, because the mean of its divisors is an integer number (7452081).

Almost surely, 2^564996960 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 564996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073099664).

564996960 is an abundant number, since it is smaller than the sum of its proper divisors (1581202368).

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

564996960 is a wasteful number, since it uses less digits than its factorization.

564996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 564996960 is about 23769.6647010428. The cubic root of 564996960 is about 826.7014582420.

The spelling of 564996960 in words is "five hundred sixty-four million, nine hundred ninety-six thousand, nine hundred sixty".