561162240 has 144 divisors (see below), whose sum is σ = 1945206900. Its totient is φ = 149618688.

The previous prime is 561162233. The next prime is 561162247. The reversal of 561162240 is 42261165.

561162240 is a `hidden beast` number, since 5 + 611 + 6 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (561162233) and next prime (561162247).

It can be written as a sum of positive squares in 2 ways, for example, as 535274496 + 25887744 = 23136^2 + 5088^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (561162247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89116 + ... + 95204.

Almost surely, 2^561162240 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 561162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972603450).

561162240 is an abundant number, since it is smaller than the sum of its proper divisors (1384044660).

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

561162240 is a wasteful number, since it uses less digits than its factorization.

561162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6099 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 561162240 is about 23688.8632061566. The cubic root of 561162240 is about 824.8268948103.

The spelling of 561162240 in words is "five hundred sixty-one million, one hundred sixty-two thousand, two hundred forty".