561345120 has 384 divisors, whose sum is σ = 2365977600. Its totient is φ = 121430016.

The previous prime is 561345077. The next prime is 561345131. The reversal of 561345120 is 21543165.

561345120 is a `hidden beast` number, since 5 + 613 + 45 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 574072 + ... + 575048.

It is an arithmetic number, because the mean of its divisors is an integer number (6161400).

Almost surely, 2^561345120 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 561345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182988800).

561345120 is an abundant number, since it is smaller than the sum of its proper divisors (1804632480).

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

561345120 is a wasteful number, since it uses less digits than its factorization.

561345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 561345120 is about 23692.7229334241. The cubic root of 561345120 is about 824.9164874143.

Adding to 561345120 its reverse (21543165), we get a palindrome (582888285).

The spelling of 561345120 in words is "five hundred sixty-one million, three hundred forty-five thousand, one hundred twenty".