561280 has 32 divisors (see below), whose sum is σ = 1343340. Its totient is φ = 224256.

The previous prime is 561277. The next prime is 561307. The reversal of 561280 is 82165.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 7744 = 744^2 + 88^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202 + ... + 1078.

2⁵⁶¹²⁸⁰ 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 561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671670).

561280 is an abundant number, since it is smaller than the sum of its proper divisors (782060).

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

561280 is an equidigital number, since it uses as much as digits as its factorization.

561280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 561280 is about 749.1862251804. The cubic root of 561280 is about 82.4884587467.

It can be divided in two parts, 561 and 280, that multiplied together give a triangular number (157080 = T₅₆₀).

The spelling of 561280 in words is "five hundred sixty-one thousand, two hundred eighty".