1165008096 has 288 divisors, whose sum is σ = 4160782080. Its totient is φ = 313030656.

The previous prime is 1165008077. The next prime is 1165008101. The reversal of 1165008096 is 6908005611.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1165008096.

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 47 ways as a sum of consecutive naturals, for example, 924715 + ... + 925973.

It is an arithmetic number, because the mean of its divisors is an integer number (14447160).

Almost surely, 2^1165008096 is an apocalyptic number.

1165008096 is a gapful number since it is divisible by the number (16) 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 1165008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080391040).

1165008096 is an abundant number, since it is smaller than the sum of its proper divisors (2995773984).

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

1165008096 is a wasteful number, since it uses less digits than its factorization.

1165008096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1165008096 is about 34132.2149295940. The cubic root of 1165008096 is about 1052.2274997488.

The spelling of 1165008096 in words is "one billion, one hundred sixty-five million, eight thousand, ninety-six".