561645600 has 144 divisors (see below), whose sum is σ = 1887379200. Its totient is φ = 144921600.

The previous prime is 561645587. The next prime is 561645613. The reversal of 561645600 is 6546165.

It is an interprime number because it is at equal distance from previous prime (561645587) and next prime (561645613).

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, 70626 + ... + 78174.

It is an arithmetic number, because the mean of its divisors is an integer number (13106800).

Almost surely, 2^561645600 is an apocalyptic number.

561645600 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 561645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943689600).

561645600 is an abundant number, since it is smaller than the sum of its proper divisors (1325733600).

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

561645600 is a wasteful number, since it uses less digits than its factorization.

561645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7603 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 561645600 is about 23699.0632726275. The cubic root of 561645600 is about 825.0636498183.

The spelling of 561645600 in words is "five hundred sixty-one million, six hundred forty-five thousand, six hundred".