561537600 has 168 divisors, whose sum is σ = 1984248000. Its totient is φ = 138209280.

The previous prime is 561537583. The next prime is 561537601. The reversal of 561537600 is 6735165.

It is not an unprimeable number, because it can be changed into a prime (561537601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57901 + ... + 66899.

It is an arithmetic number, because the mean of its divisors is an integer number (11811000).

Almost surely, 2^561537600 is an apocalyptic number.

561537600 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 561537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992124000).

561537600 is an abundant number, since it is smaller than the sum of its proper divisors (1422710400).

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

561537600 is a wasteful number, since it uses less digits than its factorization.

561537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9037 (or 9022 counting only the distinct ones).

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

The square root of 561537600 is about 23696.7845920074. The cubic root of 561537600 is about 825.0107620267.

The spelling of 561537600 in words is "five hundred sixty-one million, five hundred thirty-seven thousand, six hundred".