561960 has 96 divisors (see below), whose sum is σ = 2096640. Its totient is φ = 127872.

The previous prime is 561947. The next prime is 561961. The reversal of 561960 is 69165.

It is not an unprimeable number, because it can be changed into a prime (561961) by changing a digit.

561960 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 23 ways as a sum of consecutive naturals, for example, 2409 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁵⁶¹⁹⁶⁰ 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 561960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048320).

561960 is an abundant number, since it is smaller than the sum of its proper divisors (1534680).

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

561960 is a wasteful number, since it uses less digits than its factorization.

561960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 561960 is about 749.6399135585. The cubic root of 561960 is about 82.5217573469.

It can be divided in two parts, 561 and 960, that added together give a square (1521 = 39²).

The spelling of 561960 in words is "five hundred sixty-one thousand, nine hundred sixty".