564678072 has 96 divisors (see below), whose sum is σ = 1765277280. Its totient is φ = 159724800.

The previous prime is 564678071. The next prime is 564678091. The reversal of 564678072 is 270876465.

564678072 is a `hidden beast` number, since 564 + 6 + 7 + 80 + 7 + 2 = 666.

It is a super-2 number, since 2×564678072² = 637722649995274368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564678071) 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, 45358 + ... + 56450.

It is an arithmetic number, because the mean of its divisors is an integer number (18388305).

Almost surely, 2^564678072 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 564678072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882638640).

564678072 is an abundant number, since it is smaller than the sum of its proper divisors (1200599208).

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

564678072 is a wasteful number, since it uses less digits than its factorization.

564678072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11206 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 564678072 is about 23762.9558767423. The cubic root of 564678072 is about 826.5458970585.

The spelling of 564678072 in words is "five hundred sixty-four million, six hundred seventy-eight thousand, seventy-two".