561237600 has 288 divisors, whose sum is σ = 2278354176. Its totient is φ = 116582400.

The previous prime is 561237583. The next prime is 561237601. The reversal of 561237600 is 6732165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561237601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183282 + ... + 186318.

It is an arithmetic number, because the mean of its divisors is an integer number (7910952).

Almost surely, 2^561237600 is an apocalyptic number.

561237600 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 561237600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139177088).

561237600 is an abundant number, since it is smaller than the sum of its proper divisors (1717116576).

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

561237600 is a wasteful number, since it uses less digits than its factorization.

561237600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 561237600 is about 23690.4537736194. The cubic root of 561237600 is about 824.8638159049.

Adding to 561237600 its reverse (6732165), we get a palindrome (567969765).

The spelling of 561237600 in words is "five hundred sixty-one million, two hundred thirty-seven thousand, six hundred".