1065566160 has 120 divisors (see below), whose sum is σ = 3614203944. Its totient is φ = 281318400.

The previous prime is 1065566143. The next prime is 1065566167. The reversal of 1065566160 is 616655601.

It can be written as a sum of positive squares in 4 ways, for example, as 529736256 + 535829904 = 23016^2 + 23148^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1065566160² = 2270862482674291200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065566167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65394 + ... + 80046.

Almost surely, 2^1065566160 is an apocalyptic number.

1065566160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1065566160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807101972).

1065566160 is an abundant number, since it is smaller than the sum of its proper divisors (2548637784).

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

1065566160 is a wasteful number, since it uses less digits than its factorization.

1065566160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14773 (or 14764 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1065566160 is about 32643.0108905413. The cubic root of 1065566160 is about 1021.3944020109.

The spelling of 1065566160 in words is "one billion, sixty-five million, five hundred sixty-six thousand, one hundred sixty".