561753920 has 224 divisors, whose sum is σ = 1671376896. Its totient is φ = 175104000.

The previous prime is 561753919. The next prime is 561753931. The reversal of 561753920 is 29357165.

It is a happy number.

561753920 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 (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2941025 + ... + 2941215.

It is an arithmetic number, because the mean of its divisors is an integer number (7461504).

Almost surely, 2^561753920 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 561753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835688448).

561753920 is an abundant number, since it is smaller than the sum of its proper divisors (1109622976).

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

561753920 is a wasteful number, since it uses less digits than its factorization.

561753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 38.

The square root of 561753920 is about 23701.3484848436. The cubic root of 561753920 is about 825.1166875048.

The spelling of 561753920 in words is "five hundred sixty-one million, seven hundred fifty-three thousand, nine hundred twenty".