561619520 has 224 divisors, whose sum is σ = 1741602816. Its totient is φ = 167270400.

The previous prime is 561619519. The next prime is 561619549. The reversal of 561619520 is 25916165.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 566225 + ... + 567215.

Almost surely, 2^561619520 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 561619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870801408).

561619520 is an abundant number, since it is smaller than the sum of its proper divisors (1179983296).

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

561619520 is a wasteful number, since it uses less digits than its factorization.

561619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 561619520 is about 23698.5130335217. The cubic root of 561619520 is about 825.0508790170.

The spelling of 561619520 in words is "five hundred sixty-one million, six hundred nineteen thousand, five hundred twenty".