561180 has 48 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 145728.

The previous prime is 561173. The next prime is 561181. The reversal of 561180 is 81165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561181) by changing a digit.

561180 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, 2721 + ... + 2919.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁵⁶¹¹⁸⁰ 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 561180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

561180 is an abundant number, since it is smaller than the sum of its proper divisors (1051620).

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

561180 is a wasteful number, since it uses less digits than its factorization.

561180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 561180 is about 749.1194831267. The cubic root of 561180 is about 82.4835596258.

It can be divided in two parts, 561 and 180, that added together give a triangular number (741 = T₃₈).

The spelling of 561180 in words is "five hundred sixty-one thousand, one hundred eighty".