1065206560 has 72 divisors (see below), whose sum is σ = 2766176028. Its totient is φ = 387340800.

The previous prime is 1065206537. The next prime is 1065206581. The reversal of 1065206560 is 656025601.

1065206560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1028869776 + 36336784 = 32076^2 + 6028^2 .

It is a super-2 number, since 2×1065206560² = 2269330030934067200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8151 + ... + 46870.

Almost surely, 2^1065206560 is an apocalyptic number.

1065206560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1065206560 is an abundant number, since it is smaller than the sum of its proper divisors (1700969468).

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

1065206560 is a wasteful number, since it uses less digits than its factorization.

1065206560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55058 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 1065206560 is about 32637.5023554193. The cubic root of 1065206560 is about 1021.2794913447.

The spelling of 1065206560 in words is "one billion, sixty-five million, two hundred six thousand, five hundred sixty".