561729168 has 400 divisors, whose sum is σ = 2187943296. Its totient is φ = 134369280.

The previous prime is 561729137. The next prime is 561729169. The reversal of 561729168 is 861927165.

561729168 is a `hidden beast` number, since 5 + 617 + 29 + 1 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (561729169) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1297080 + ... + 1297512.

Almost surely, 2^561729168 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 561729168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093971648).

561729168 is an abundant number, since it is smaller than the sum of its proper divisors (1626214128).

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

561729168 is a wasteful number, since it uses less digits than its factorization.

561729168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 561729168 is about 23700.8263147089. The cubic root of 561729168 is about 825.1045685636.

The spelling of 561729168 in words is "five hundred sixty-one million, seven hundred twenty-nine thousand, one hundred sixty-eight".