561847104 has 336 divisors, whose sum is σ = 2060659328. Its totient is φ = 147806208.

The previous prime is 561847103. The next prime is 561847129. The reversal of 561847104 is 401748165.

It is a happy number.

561847104 is a `hidden beast` number, since 561 + 84 + 7 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561847103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415034 + ... + 1415430.

Almost surely, 2^561847104 is an apocalyptic number.

561847104 is a gapful number since it is divisible by the number (54) 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 561847104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030329664).

561847104 is an abundant number, since it is smaller than the sum of its proper divisors (1498812224).

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

561847104 is a wasteful number, since it uses less digits than its factorization.

561847104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 561847104 is about 23703.3141986516. The cubic root of 561847104 is about 825.1623085616.

The spelling of 561847104 in words is "five hundred sixty-one million, eight hundred forty-seven thousand, one hundred four".