560735370 has 96 divisors (see below), whose sum is σ = 1612617552. Its totient is φ = 134286336.

The previous prime is 560735359. The next prime is 560735381. The reversal of 560735370 is 73537065.

560735370 is a `hidden beast` number, since 56 + 0 + 73 + 537 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (560735359) and next prime (560735381).

It can be written as a sum of positive squares in 8 ways, for example, as 133610481 + 427124889 = 11559^2 + 20667^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 36814 + ... + 49766.

Almost surely, 2^560735370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560735370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806308776).

560735370 is an abundant number, since it is smaller than the sum of its proper divisors (1051882182).

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

560735370 is a wasteful number, since it uses less digits than its factorization.

560735370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13016 (or 13013 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 560735370 is about 23679.8515620348. The cubic root of 560735370 is about 824.6176961465.

The spelling of 560735370 in words is "five hundred sixty million, seven hundred thirty-five thousand, three hundred seventy".