560265984 has 180 divisors, whose sum is σ = 1713955320. Its totient is φ = 181923840.

The previous prime is 560265983. The next prime is 560265989. The reversal of 560265984 is 489562065.

560265984 is a `hidden beast` number, since 56 + 0 + 2 + 6 + 598 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (560265983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 849847 + ... + 850505.

It is an arithmetic number, because the mean of its divisors is an integer number (9521974).

Almost surely, 2^560265984 is an apocalyptic number.

560265984 is a gapful number since it is divisible by the number (54) 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 560265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856977660).

560265984 is an abundant number, since it is smaller than the sum of its proper divisors (1153689336).

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

560265984 is an equidigital number, since it uses as much as digits as its factorization.

560265984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 560265984 is about 23669.9384029617. The cubic root of 560265984 is about 824.3875388237.

The spelling of 560265984 in words is "five hundred sixty million, two hundred sixty-five thousand, nine hundred eighty-four".