1065809664 has 126 divisors (see below), whose sum is σ = 3190283376. Its totient is φ = 355207680.

The previous prime is 1065809663. The next prime is 1065809681. The reversal of 1065809664 is 4669085601.

1065809664 is a `hidden beast` number, since 1 + 0 + 6 + 580 + 9 + 6 + 64 = 666.

It is a super-2 number, since 2×1065809664² = 2271900479751585792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065809663) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 183769 + ... + 189479.

Almost surely, 2^1065809664 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 1065809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595141688).

1065809664 is an abundant number, since it is smaller than the sum of its proper divisors (2124473712).

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

1065809664 is an frugal number, since it uses more digits than its factorization.

1065809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5745 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1065809664 is about 32646.7404804829. The cubic root of 1065809664 is about 1021.4721993637.

The spelling of 1065809664 in words is "one billion, sixty-five million, eight hundred nine thousand, six hundred sixty-four".