561241632 has 96 divisors (see below), whose sum is σ = 1695181824. Its totient is φ = 159264000.

The previous prime is 561241631. The next prime is 561241649. The reversal of 561241632 is 236142165.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 561241632.

It is not an unprimeable number, because it can be changed into a prime (561241631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98707 + ... + 104237.

It is an arithmetic number, because the mean of its divisors is an integer number (17658144).

Almost surely, 2^561241632 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 561241632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847590912).

561241632 is an abundant number, since it is smaller than the sum of its proper divisors (1133940192).

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

561241632 is a wasteful number, since it uses less digits than its factorization.

561241632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702 (or 5694 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 561241632 is about 23690.5388710346. The cubic root of 561241632 is about 824.8657912079.

Adding to 561241632 its reverse (236142165), we get a palindrome (797383797).

The spelling of 561241632 in words is "five hundred sixty-one million, two hundred forty-one thousand, six hundred thirty-two".