561342096 has 320 divisors, whose sum is σ = 1967731200. Its totient is φ = 149796864.

The previous prime is 561342053. The next prime is 561342097. The reversal of 561342096 is 690243165.

It is a happy number.

561342096 is a `hidden beast` number, since 561 + 3 + 4 + 2 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 561342096.

It is not an unprimeable number, because it can be changed into a prime (561342097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3244666 + ... + 3244838.

It is an arithmetic number, because the mean of its divisors is an integer number (6149160).

Almost surely, 2^561342096 is an apocalyptic number.

561342096 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 561342096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983865600).

561342096 is an abundant number, since it is smaller than the sum of its proper divisors (1406389104).

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

561342096 is a wasteful number, since it uses less digits than its factorization.

561342096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 561342096 is about 23692.6591162748. The cubic root of 561342096 is about 824.9150061200.

The spelling of 561342096 in words is "five hundred sixty-one million, three hundred forty-two thousand, ninety-six".