561008736 has 108 divisors (see below), whose sum is σ = 1649305476. Its totient is φ = 180881280.

The previous prime is 561008731. The next prime is 561008743. The reversal of 561008736 is 637800165.

561008736 is a `hidden beast` number, since 5 + 610 + 0 + 8 + 7 + 36 = 666.

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 561008736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561008731) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 275755 + ... + 277781.

It is an arithmetic number, because the mean of its divisors is an integer number (15271347).

Almost surely, 2^561008736 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 561008736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824652738).

561008736 is an abundant number, since it is smaller than the sum of its proper divisors (1088296740).

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

561008736 is a wasteful number, since it uses less digits than its factorization.

561008736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 561008736 is about 23685.6229810406. The cubic root of 561008736 is about 824.7516784318.

The spelling of 561008736 in words is "five hundred sixty-one million, eight thousand, seven hundred thirty-six".