560100640 has 96 divisors (see below), whose sum is σ = 1453443264. Its totient is φ = 202275840.

The previous prime is 560100613. The next prime is 560100641. The reversal of 560100640 is 46001065.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (560100641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 275307 + ... + 277333.

It is an arithmetic number, because the mean of its divisors is an integer number (15140034).

Almost surely, 2^560100640 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 560100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726721632).

560100640 is an abundant number, since it is smaller than the sum of its proper divisors (893342624).

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

560100640 is a wasteful number, since it uses less digits than its factorization.

560100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 560100640 is about 23666.4454449755. The cubic root of 560100640 is about 824.3064339270.

The spelling of 560100640 in words is "five hundred sixty million, one hundred thousand, six hundred forty".