561683808 has 288 divisors, whose sum is σ = 2007742464. Its totient is φ = 150792192.

The previous prime is 561683807. The next prime is 561683809. The reversal of 561683808 is 808386165.

561683808 is a `hidden beast` number, since 561 + 6 + 8 + 3 + 80 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (561683807) and next prime (561683809).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561683807) 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, 925041 + ... + 925647.

It is an arithmetic number, because the mean of its divisors is an integer number (6971328).

Almost surely, 2^561683808 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 561683808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232).

561683808 is an abundant number, since it is smaller than the sum of its proper divisors (1446058656).

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

561683808 is a wasteful number, since it uses less digits than its factorization.

561683808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 561683808 is about 23699.8693667286. The cubic root of 561683808 is about 825.0823587201.

The spelling of 561683808 in words is "five hundred sixty-one million, six hundred eighty-three thousand, eight hundred eight".