561088 has 28 divisors (see below), whose sum is σ = 1216152. Its totient is φ = 254720.

The previous prime is 561083. The next prime is 561091. The reversal of 561088 is 880165.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 306 + ... + 1102.

It is an arithmetic number, because the mean of its divisors is an integer number (43434).

2⁵⁶¹⁰⁸⁸ 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 561088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608076).

561088 is an abundant number, since it is smaller than the sum of its proper divisors (655064).

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

561088 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 561088 = (168508)₁₃.

561088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 561088 is about 749.0580751851. The cubic root of 561088 is about 82.4790519205.

The spelling of 561088 in words is "five hundred sixty-one thousand, eighty-eight".