561200 has 60 divisors (see below), whose sum is σ = 1429968. Its totient is φ = 211200.

The previous prime is 561199. The next prime is 561229. The reversal of 561200 is 2165.

561200 = T₁₀₄ + T₁₀₅ + ... + T₁₆₄.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 561200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9170 + ... + 9230.

2⁵⁶¹²⁰⁰ is an apocalyptic number.

561200 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 561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714984).

561200 is an abundant number, since it is smaller than the sum of its proper divisors (868768).

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

561200 is a wasteful number, since it uses less digits than its factorization.

561200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 561200 is about 749.1328320131. The cubic root of 561200 is about 82.4845394965.

Adding to 561200 its reverse (2165), we get a palindrome (563365).

The spelling of 561200 in words is "five hundred sixty-one thousand, two hundred".