560739816 has 288 divisors, whose sum is σ = 1982897280. Its totient is φ = 139138560.

The previous prime is 560739731. The next prime is 560739889. The reversal of 560739816 is 618937065.

It is a happy number.

560739816 is a `hidden beast` number, since 5 + 607 + 39 + 8 + 1 + 6 = 666.

560739816 is a nontrivial binomial coefficient, being equal to C(33489, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9192426 + ... + 9192486.

It is an arithmetic number, because the mean of its divisors is an integer number (6885060).

Almost surely, 2^560739816 is an apocalyptic number.

560739816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

560739816 is the 33488-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560739816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991448640).

560739816 is an abundant number, since it is smaller than the sum of its proper divisors (1422157464).

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

560739816 is a wasteful number, since it uses less digits than its factorization.

560739816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 560739816 is about 23679.9454391263. The cubic root of 560739816 is about 824.6198755707.

The spelling of 560739816 in words is "five hundred sixty million, seven hundred thirty-nine thousand, eight hundred sixteen".