561120 has 96 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 127488.

The previous prime is 561109. The next prime is 561161. The reversal of 561120 is 21165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 561120.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 561120.

It is an unprimeable number.

561120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3277 + ... + 3443.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁵⁶¹¹²⁰ 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 561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).

561120 is an abundant number, since it is smaller than the sum of its proper divisors (1471008).

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

561120 is a wasteful number, since it uses less digits than its factorization.

561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 561120 is about 749.0794350401. The cubic root of 561120 is about 82.4806198738.

Adding to 561120 its reverse (21165), we get a palindrome (582285).

It can be divided in two parts, 56 and 1120, that added together give a triangular number (1176 = T₄₈).

The spelling of 561120 in words is "five hundred sixty-one thousand, one hundred twenty".