561300096 has 192 divisors, whose sum is σ = 1811177280. Its totient is φ = 153280512.

The previous prime is 561300053. The next prime is 561300107. The reversal of 561300096 is 690003165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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, 432120 + ... + 433416.

It is an arithmetic number, because the mean of its divisors is an integer number (9433215).

Almost surely, 2^561300096 is an apocalyptic number.

561300096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905588640).

561300096 is an abundant number, since it is smaller than the sum of its proper divisors (1249877184).

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

561300096 is a wasteful number, since it uses less digits than its factorization.

561300096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 561300096 is about 23691.7727492056. The cubic root of 561300096 is about 824.8944320383.

The spelling of 561300096 in words is "five hundred sixty-one million, three hundred thousand, ninety-six".