561024 has 48 divisors (see below), whose sum is σ = 1617720. Its totient is φ = 186624.

The previous prime is 561019. The next prime is 561047. The reversal of 561024 is 420165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 560988 and 561006.

It is a congruent number.

It is an unprimeable number.

561024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 909 + ... + 1395.

2⁵⁶¹⁰²⁴ 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 561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808860).

561024 is an abundant number, since it is smaller than the sum of its proper divisors (1056696).

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

561024 is a wasteful number, since it uses less digits than its factorization.

561024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 561024 is about 749.0153536477. The cubic root of 561024 is about 82.4759158348.

Adding to 561024 its reverse (420165), we get a palindrome (981189).

The spelling of 561024 in words is "five hundred sixty-one thousand, twenty-four".