561840800 has 72 divisors (see below), whose sum is σ = 1380974112. Its totient is φ = 223200000.

The previous prime is 561840793. The next prime is 561840823. The reversal of 561840800 is 8048165.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118475 + ... + 123125.

It is an arithmetic number, because the mean of its divisors is an integer number (19180196).

Almost surely, 2^561840800 is an apocalyptic number.

561840800 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 561840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690487056).

561840800 is an abundant number, since it is smaller than the sum of its proper divisors (819133312).

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

561840800 is a wasteful number, since it uses less digits than its factorization.

561840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 561840800 is about 23703.1812210935. The cubic root of 561840800 is about 825.1592224060.

Adding to 561840800 its reverse (8048165), we get a palindrome (569888965).

The spelling of 561840800 in words is "five hundred sixty-one million, eight hundred forty thousand, eight hundred".