1168066640 has 80 divisors (see below), whose sum is σ = 3025587600. Its totient is φ = 416403456.

The previous prime is 1168066633. The next prime is 1168066657. The reversal of 1168066640 is 466608611.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 318693904 + 849372736 = 17852^2 + 29144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1168066594 and 1168066603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10796 + ... + 49524.

It is an arithmetic number, because the mean of its divisors is an integer number (37819845).

Almost surely, 2^1168066640 is an apocalyptic number.

1168066640 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 1168066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512793800).

1168066640 is an abundant number, since it is smaller than the sum of its proper divisors (1857520960).

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

1168066640 is a wasteful number, since it uses less digits than its factorization.

1168066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38784 (or 38778 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 1168066640 is about 34176.9899201202. The cubic root of 1168066640 is about 1053.1475139108.

The spelling of 1168066640 in words is "one billion, one hundred sixty-eight million, sixty-six thousand, six hundred forty".