561344 has 42 divisors (see below), whose sum is σ = 1303020. Its totient is φ = 239232.

The previous prime is 561343. The next prime is 561347. The reversal of 561344 is 443165.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (561343) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3047 + ... + 3225.

2⁵⁶¹³⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651510).

561344 is an abundant number, since it is smaller than the sum of its proper divisors (741676).

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

561344 is a wasteful number, since it uses less digits than its factorization.

561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 561344 is about 749.2289369745. The cubic root of 561344 is about 82.4915938787.

The spelling of 561344 in words is "five hundred sixty-one thousand, three hundred forty-four".