561520800 has 216 divisors, whose sum is σ = 1996184736. Its totient is φ = 148523520.

The previous prime is 561520793. The next prime is 561520801. The reversal of 561520800 is 8025165.

561520800 is a `hidden beast` number, since 5 + 61 + 520 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (561520801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1202167 + ... + 1202633.

It is an arithmetic number, because the mean of its divisors is an integer number (9241596).

Almost surely, 2^561520800 is an apocalyptic number.

561520800 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 561520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998092368).

561520800 is an abundant number, since it is smaller than the sum of its proper divisors (1434663936).

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

561520800 is a wasteful number, since it uses less digits than its factorization.

561520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 561520800 is about 23696.4301108838. The cubic root of 561520800 is about 825.0025344275.

Adding to 561520800 its reverse (8025165), we get a palindrome (569545965).

The spelling of 561520800 in words is "five hundred sixty-one million, five hundred twenty thousand, eight hundred".