560085000 has 80 divisors (see below), whose sum is σ = 1749752400. Its totient is φ = 149352000.

The previous prime is 560084999. The next prime is 560085007. The reversal of 560085000 is 580065.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (560085007) 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, 3670 + ... + 33669.

It is an arithmetic number, because the mean of its divisors is an integer number (21871905).

Almost surely, 2^560085000 is an apocalyptic number.

560085000 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 560085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874876200).

560085000 is an abundant number, since it is smaller than the sum of its proper divisors (1189667400).

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

560085000 is a wasteful number, since it uses less digits than its factorization.

560085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37368 (or 37349 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 560085000 is about 23666.1150170449. The cubic root of 560085000 is about 824.2987613341.

The spelling of 560085000 in words is "five hundred sixty million, eighty-five thousand".