560068416 has 84 divisors (see below), whose sum is σ = 1660740900. Its totient is φ = 180246528.

The previous prime is 560068409. The next prime is 560068427. The reversal of 560068416 is 614860065.

560068416 is a `hidden beast` number, since 5 + 600 + 6 + 8 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 319694400 + 240374016 = 17880^2 + 15504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61 + ... + 33468.

It is an arithmetic number, because the mean of its divisors is an integer number (19770725).

Almost surely, 2^560068416 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 560068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830370450).

560068416 is an abundant number, since it is smaller than the sum of its proper divisors (1100672484).

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

560068416 is a wasteful number, since it uses less digits than its factorization.

560068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33576 (or 33563 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 560068416 is about 23665.7646400872. The cubic root of 560068416 is about 824.2906254823.

The spelling of 560068416 in words is "five hundred sixty million, sixty-eight thousand, four hundred sixteen".