1165317120 has 528 divisors, whose sum is σ = 4675020480. Its totient is φ = 267632640.

The previous prime is 1165317091. The next prime is 1165317143. The reversal of 1165317120 is 217135611.

1165317120 is a `hidden beast` number, since 1 + 1 + 6 + 531 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61332471 + ... + 61332489.

Almost surely, 2^1165317120 is an apocalyptic number.

1165317120 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 1165317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337510240).

1165317120 is an abundant number, since it is smaller than the sum of its proper divisors (3509703360).

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

1165317120 is a wasteful number, since it uses less digits than its factorization.

1165317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1165317120 is about 34136.7414965166. The cubic root of 1165317120 is about 1052.3205276587.

The spelling of 1165317120 in words is "one billion, one hundred sixty-five million, three hundred seventeen thousand, one hundred twenty".