561503360 has 128 divisors (see below), whose sum is σ = 1496413440. Its totient is φ = 199720960.

The previous prime is 561503357. The next prime is 561503399. The reversal of 561503360 is 63305165.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330032 + ... + 331728.

It is an arithmetic number, because the mean of its divisors is an integer number (11690730).

Almost surely, 2^561503360 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 561503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748206720).

561503360 is an abundant number, since it is smaller than the sum of its proper divisors (934910080).

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

561503360 is a wasteful number, since it uses less digits than its factorization.

561503360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 561503360 is about 23696.0621201076. The cubic root of 561503360 is about 824.9939932223.

The spelling of 561503360 in words is "five hundred sixty-one million, five hundred three thousand, three hundred sixty".