561642080 has 48 divisors (see below), whose sum is σ = 1331878464. Its totient is φ = 223810560.

The previous prime is 561642079. The next prime is 561642089. The reversal of 561642080 is 80246165.

561642080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561642089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36884 + ... + 49836.

It is an arithmetic number, because the mean of its divisors is an integer number (27747468).

Almost surely, 2^561642080 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 561642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665939232).

561642080 is an abundant number, since it is smaller than the sum of its proper divisors (770236384).

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

561642080 is a wasteful number, since it uses less digits than its factorization.

561642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13239 (or 13231 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 561642080 is about 23698.9890079725. The cubic root of 561642080 is about 825.0619261750.

The spelling of 561642080 in words is "five hundred sixty-one million, six hundred forty-two thousand, eighty".