1065516768 has 240 divisors, whose sum is σ = 3334849056. Its totient is φ = 333020160.

The previous prime is 1065516763. The next prime is 1065516799. The reversal of 1065516768 is 8676155601.

1065516768 is a `hidden beast` number, since 1 + 0 + 65 + 516 + 76 + 8 = 666.

It is a super-2 number, since 2×1065516768² = 2270651965778331648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065516761) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3636430 + ... + 3636722.

It is a vampire number, since it can be written as 17568 ⋅ 60651 (with its own digits).

Almost surely, 2^1065516768 is an apocalyptic number.

1065516768 is a gapful number since it is divisible by the number (18) 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 1065516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667424528).

1065516768 is an abundant number, since it is smaller than the sum of its proper divisors (2269332288).

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

1065516768 is a wasteful number, since it uses less digits than its factorization.

1065516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1065516768 is about 32642.2543339151. The cubic root of 1065516768 is about 1021.3786202623.

The spelling of 1065516768 in words is "one billion, sixty-five million, five hundred sixteen thousand, seven hundred sixty-eight".