560990160 has 240 divisors, whose sum is σ = 1959102288. Its totient is φ = 143769600.

The previous prime is 560990159. The next prime is 560990179. The reversal of 560990160 is 61099065.

560990160 is a `hidden beast` number, since 560 + 9 + 90 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8928144 + 552062016 = 2988^2 + 23496^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2327640 + ... + 2327880.

Almost surely, 2^560990160 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 560990160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979551144).

560990160 is an abundant number, since it is smaller than the sum of its proper divisors (1398112128).

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

560990160 is a wasteful number, since it uses less digits than its factorization.

560990160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 560990160 is about 23685.2308411803. The cubic root of 560990160 is about 824.7425753315.

The spelling of 560990160 in words is "five hundred sixty million, nine hundred ninety thousand, one hundred sixty".