561613824 has 264 divisors, whose sum is σ = 1755474448. Its totient is φ = 179159040.

The previous prime is 561613823. The next prime is 561613831. The reversal of 561613824 is 428316165.

It is a happy number.

561613824 is a `hidden beast` number, since 5 + 616 + 1 + 38 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561613823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9206754 + ... + 9206814.

Almost surely, 2^561613824 is an apocalyptic number.

561613824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877737224).

561613824 is an abundant number, since it is smaller than the sum of its proper divisors (1193860624).

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

561613824 is an equidigital number, since it uses as much as digits as its factorization.

561613824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 561613824 is about 23698.3928569007. The cubic root of 561613824 is about 825.0480897587.

Adding to 561613824 its reverse (428316165), we get a palindrome (989929989).

The spelling of 561613824 in words is "five hundred sixty-one million, six hundred thirteen thousand, eight hundred twenty-four".