561576672 has 192 divisors, whose sum is σ = 1706987520. Its totient is φ = 179481600.

The previous prime is 561576667. The next prime is 561576683. The reversal of 561576672 is 276675165.

561576672 is a `hidden beast` number, since 5 + 6 + 1 + 576 + 6 + 72 = 666.

561576672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2940097 + ... + 2940287.

It is an arithmetic number, because the mean of its divisors is an integer number (8890560).

Almost surely, 2^561576672 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 561576672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853493760).

561576672 is an abundant number, since it is smaller than the sum of its proper divisors (1145410848).

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

561576672 is a wasteful number, since it uses less digits than its factorization.

561576672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 561576672 is about 23697.6089933141. The cubic root of 561576672 is about 825.0298964373.

The spelling of 561576672 in words is "five hundred sixty-one million, five hundred seventy-six thousand, six hundred seventy-two".