561843600 has 120 divisors (see below), whose sum is σ = 1821779232. Its totient is φ = 147993600.

The previous prime is 561843599. The next prime is 561843613. The reversal of 561843600 is 6348165.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 96780 + ... + 102420.

Almost surely, 2^561843600 is an apocalyptic number.

561843600 is a gapful number since it is divisible by the number (50) 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 561843600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910889616).

561843600 is an abundant number, since it is smaller than the sum of its proper divisors (1259935632).

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

561843600 is a wasteful number, since it uses less digits than its factorization.

561843600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 561843600 is about 23703.2402848218. The cubic root of 561843600 is about 825.1605931632.

The spelling of 561843600 in words is "five hundred sixty-one million, eight hundred forty-three thousand, six hundred".