561582720 has 384 divisors, whose sum is σ = 2111840640. Its totient is φ = 142331904.

The previous prime is 561582719. The next prime is 561582733. The reversal of 561582720 is 27285165.

It is a happy number.

561582720 is a `hidden beast` number, since 5 + 6 + 1 + 582 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3576882 + ... + 3577038.

It is an arithmetic number, because the mean of its divisors is an integer number (5499585).

Almost surely, 2^561582720 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 561582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055920320).

561582720 is an abundant number, since it is smaller than the sum of its proper divisors (1550257920).

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

561582720 is a wasteful number, since it uses less digits than its factorization.

561582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 561582720 is about 23697.7366007811. The cubic root of 561582720 is about 825.0328581954.

The spelling of 561582720 in words is "five hundred sixty-one million, five hundred eighty-two thousand, seven hundred twenty".