560064000 has 160 divisors (see below), whose sum is σ = 1862711136. Its totient is φ = 149299200.

The previous prime is 560063993. The next prime is 560064013. The reversal of 560064000 is 460065.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 190542 + ... + 193458.

Almost surely, 2^560064000 is an apocalyptic number.

560064000 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 560064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931355568).

560064000 is an abundant number, since it is smaller than the sum of its proper divisors (1302647136).

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

560064000 is an equidigital number, since it uses as much as digits as its factorization.

560064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 560064000 is about 23665.6713405726. The cubic root of 560064000 is about 824.2884590345.

It can be divided in two parts, 56006 and 4000, that added together give a palindrome (60006).

The spelling of 560064000 in words is "five hundred sixty million, sixty-four thousand".