561835008 has 176 divisors, whose sum is σ = 1902236160. Its totient is φ = 160468992.

The previous prime is 561834967. The next prime is 561835037. The reversal of 561835008 is 800538165.

561835008 is a `hidden beast` number, since 5 + 618 + 35 + 0 + 0 + 8 = 666.

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

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, 192085 + ... + 194987.

It is an arithmetic number, because the mean of its divisors is an integer number (10808160).

Almost surely, 2^561835008 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 561835008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951118080).

561835008 is an abundant number, since it is smaller than the sum of its proper divisors (1340401152).

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

561835008 is a wasteful number, since it uses less digits than its factorization.

561835008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2915 counting only the distinct ones).

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

The square root of 561835008 is about 23703.0590430856. The cubic root of 561835008 is about 825.1563868824.

The spelling of 561835008 in words is "five hundred sixty-one million, eight hundred thirty-five thousand, eight".