561080 has 48 divisors (see below), whose sum is σ = 1383480. Its totient is φ = 204672.

The previous prime is 561079. The next prime is 561083. The reversal of 561080 is 80165.

561080 = 41² + 42² + ... + 120².

561080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 6719 + ... + 6801.

2⁵⁶¹⁰⁸⁰ 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 561080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691740).

561080 is an abundant number, since it is smaller than the sum of its proper divisors (822400).

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

561080 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 561080 = (168500)₁₃.

561080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 561080 is about 749.0527351262. The cubic root of 561080 is about 82.4786599228.

The spelling of 561080 in words is "five hundred sixty-one thousand, eighty".