561105240 has 128 divisors (see below), whose sum is σ = 1765463040. Its totient is φ = 142393856.

The previous prime is 561105227. The next prime is 561105271. The reversal of 561105240 is 42501165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 561105240.

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 31 ways as a sum of consecutive naturals, for example, 725494 + ... + 726266.

It is an arithmetic number, because the mean of its divisors is an integer number (13792680).

Almost surely, 2^561105240 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 561105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882731520).

561105240 is an abundant number, since it is smaller than the sum of its proper divisors (1204357800).

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

561105240 is a wasteful number, since it uses less digits than its factorization.

561105240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 561105240 is about 23687.6600786148. The cubic root of 561105240 is about 824.7989666275.

The spelling of 561105240 in words is "five hundred sixty-one million, one hundred five thousand, two hundred forty".