562936320 has 240 divisors, whose sum is σ = 1990700712. Its totient is φ = 146964480.

The previous prime is 562936307. The next prime is 562936321. The reversal of 562936320 is 23639265.

562936320 is a `hidden beast` number, since 5 + 629 + 3 + 6 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 460359936 + 102576384 = 21456^2 + 10128^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (562936321) 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 23 ways as a sum of consecutive naturals, for example, 1220890 + ... + 1221350.

Almost surely, 2^562936320 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 562936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995350356).

562936320 is an abundant number, since it is smaller than the sum of its proper divisors (1427764392).

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

562936320 is a wasteful number, since it uses less digits than its factorization.

562936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 562936320 is about 23726.2791014520. The cubic root of 562936320 is about 825.6951936386.

The spelling of 562936320 in words is "five hundred sixty-two million, nine hundred thirty-six thousand, three hundred twenty".