564634512 has 120 divisors (see below), whose sum is σ = 1721374200. Its totient is φ = 171730944.

The previous prime is 564634463. The next prime is 564634517. The reversal of 564634512 is 215436465.

564634512 is a `hidden beast` number, since 5 + 6 + 4 + 634 + 5 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62157456 + 502477056 = 7884^2 + 22416^2 .

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 (564634517) 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 23 ways as a sum of consecutive naturals, for example, 164914 + ... + 168302.

It is an arithmetic number, because the mean of its divisors is an integer number (14344785).

Almost surely, 2^564634512 is an apocalyptic number.

564634512 is a gapful number since it is divisible by the number (52) 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 564634512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860687100).

564634512 is an abundant number, since it is smaller than the sum of its proper divisors (1156739688).

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

564634512 is a wasteful number, since it uses less digits than its factorization.

564634512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3496 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 564634512 is about 23762.0393064232. The cubic root of 564634512 is about 826.5246429039.

The spelling of 564634512 in words is "five hundred sixty-four million, six hundred thirty-four thousand, five hundred twelve".