564781056 has 224 divisors, whose sum is σ = 1782470400. Its totient is φ = 158957568.

The previous prime is 564781039. The next prime is 564781067. The reversal of 564781056 is 650187465.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 564780999 and 564781017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8429535 + ... + 8429601.

Almost surely, 2^564781056 is an apocalyptic number.

564781056 is a gapful number since it is divisible by the number (56) 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 564781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891235200).

564781056 is an abundant number, since it is smaller than the sum of its proper divisors (1217689344).

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

564781056 is an frugal number, since it uses more digits than its factorization.

564781056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 564781056 is about 23765.1226800957. The cubic root of 564781056 is about 826.5961415150.

The spelling of 564781056 in words is "five hundred sixty-four million, seven hundred eighty-one thousand, fifty-six".