562966560 has 576 divisors, whose sum is σ = 2303290080. Its totient is φ = 123863040.

The previous prime is 562966559. The next prime is 562966567. The reversal of 562966560 is 65669265.

562966560 is a `hidden beast` number, since 5 + 6 + 29 + 66 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 138384 + 562828176 = 372^2 + 23724^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562966567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9228930 + ... + 9228990.

Almost surely, 2^562966560 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 562966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151645040).

562966560 is an abundant number, since it is smaller than the sum of its proper divisors (1740323520).

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

562966560 is a wasteful number, since it uses less digits than its factorization.

562966560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 562966560 is about 23726.9163609602. The cubic root of 562966560 is about 825.7099783633.

The spelling of 562966560 in words is "five hundred sixty-two million, nine hundred sixty-six thousand, five hundred sixty".