560704000 has 80 divisors (see below), whose sum is σ = 1398310056. Its totient is φ = 224256000.

The previous prime is 560703967. The next prime is 560704019. The reversal of 560704000 is 407065.

It can be written as a sum of positive squares in 4 ways, for example, as 56791296 + 503912704 = 7536^2 + 22448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59620 + ... + 68380.

Almost surely, 2^560704000 is an apocalyptic number.

560704000 is a gapful number since it is divisible by the number (50) 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 560704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699155028).

560704000 is an abundant number, since it is smaller than the sum of its proper divisors (837606056).

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

560704000 is an frugal number, since it uses more digits than its factorization.

560704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 560704000 is about 23679.1891753075. The cubic root of 560704000 is about 824.6023182809.

The spelling of 560704000 in words is "five hundred sixty million, seven hundred four thousand".