560467968 has 104 divisors (see below), whose sum is σ = 1582894368. Its totient is φ = 175767552.

The previous prime is 560467967. The next prime is 560467969. The reversal of 560467968 is 869764065.

It is an interprime number because it is at equal distance from previous prime (560467967) and next prime (560467969).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 560467968.

It is not an unprimeable number, because it can be changed into a prime (560467967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207555 + ... + 210237.

Almost surely, 2^560467968 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 560467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791447184).

560467968 is an abundant number, since it is smaller than the sum of its proper divisors (1022426400).

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

560467968 is a wasteful number, since it uses less digits than its factorization.

560467968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 560467968 is about 23674.2046962511. The cubic root of 560467968 is about 824.4865948027.

The spelling of 560467968 in words is "five hundred sixty million, four hundred sixty-seven thousand, nine hundred sixty-eight".