1165305040 has 40 divisors (see below), whose sum is σ = 2710842120. Its totient is φ = 465862656.

The previous prime is 1165305019. The next prime is 1165305049. The reversal of 1165305040 is 405035611.

It can be written as a sum of positive squares in 4 ways, for example, as 57214096 + 1108090944 = 7564^2 + 33288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1165304996 and 1165305014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165305049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 212412 + ... + 217828.

It is an arithmetic number, because the mean of its divisors is an integer number (67771053).

Almost surely, 2^1165305040 is an apocalyptic number.

1165305040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1165305040 is an abundant number, since it is smaller than the sum of its proper divisors (1545537080).

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

1165305040 is a wasteful number, since it uses less digits than its factorization.

1165305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1165305040 is about 34136.5645605998. The cubic root of 1165305040 is about 1052.3168914308.

The spelling of 1165305040 in words is "one billion, one hundred sixty-five million, three hundred five thousand, forty".