561724128 has 144 divisors (see below), whose sum is σ = 1849236480. Its totient is φ = 158416128.

The previous prime is 561724109. The next prime is 561724133. The reversal of 561724128 is 821427165.

561724128 is a `hidden beast` number, since 5 + 617 + 24 + 12 + 8 = 666.

561724128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 561724092 and 561724101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157501 + ... + 161027.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 2^561724128 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 561724128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924618240).

561724128 is an abundant number, since it is smaller than the sum of its proper divisors (1287512352).

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

561724128 is a wasteful number, since it uses less digits than its factorization.

561724128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3618 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 561724128 is about 23700.7199890636. The cubic root of 561724128 is about 825.1021008622.

The spelling of 561724128 in words is "five hundred sixty-one million, seven hundred twenty-four thousand, one hundred twenty-eight".