561573600 has 144 divisors (see below), whose sum is σ = 2089116288. Its totient is φ = 128355840.

The previous prime is 561573599. The next prime is 561573611. The reversal of 561573600 is 6375165.

561573600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87 + ... + 33513.

It is an arithmetic number, because the mean of its divisors is an integer number (14507752).

Almost surely, 2^561573600 is an apocalyptic number.

561573600 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 561573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044558144).

561573600 is an abundant number, since it is smaller than the sum of its proper divisors (1527542688).

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

561573600 is a wasteful number, since it uses less digits than its factorization.

561573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33457 (or 33444 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 561573600 is about 23697.5441765597. The cubic root of 561573600 is about 825.0283920440.

The spelling of 561573600 in words is "five hundred sixty-one million, five hundred seventy-three thousand, six hundred".