561636144 has 60 divisors (see below), whose sum is σ = 1576980912. Its totient is φ = 186595200.

The previous prime is 561636139. The next prime is 561636151. The reversal of 561636144 is 441636165.

It is a happy number.

561636144 is a `hidden beast` number, since 5 + 6 + 1 + 636 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 561636099 and 561636108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38514 + ... + 51054.

Almost surely, 2^561636144 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 561636144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788490456).

561636144 is an abundant number, since it is smaller than the sum of its proper divisors (1015344768).

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

561636144 is a wasteful number, since it uses less digits than its factorization.

561636144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12866 (or 12857 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 561636144 is about 23698.8637702317. The cubic root of 561636144 is about 825.0590194692.

The spelling of 561636144 in words is "five hundred sixty-one million, six hundred thirty-six thousand, one hundred forty-four".