561841056 has 288 divisors, whose sum is σ = 1992574080. Its totient is φ = 153280512.

The previous prime is 561841051. The next prime is 561841067. The reversal of 561841056 is 650148165.

561841056 is a `hidden beast` number, since 561 + 8 + 41 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 561841056.

It is not an unprimeable number, because it can be changed into a prime (561841051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973440 + ... + 974016.

It is an arithmetic number, because the mean of its divisors is an integer number (6918660).

Almost surely, 2^561841056 is an apocalyptic number.

561841056 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 561841056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996287040).

561841056 is an abundant number, since it is smaller than the sum of its proper divisors (1430733024).

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

561841056 is a wasteful number, since it uses less digits than its factorization.

561841056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 561841056 is about 23703.1866212119. The cubic root of 561841056 is about 825.1593477326.

The spelling of 561841056 in words is "five hundred sixty-one million, eight hundred forty-one thousand, fifty-six".