1165112460 has 72 divisors (see below), whose sum is σ = 3551039856. Its totient is φ = 309214080.

The previous prime is 1165112453. The next prime is 1165112483. The reversal of 1165112460 is 642115611.

1165112460 is a `hidden beast` number, since 1 + 1 + 651 + 1 + 2 + 4 + 6 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 22642 + ... + 53318.

It is an arithmetic number, because the mean of its divisors is an integer number (49319998).

Almost surely, 2^1165112460 is an apocalyptic number.

1165112460 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 1165112460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775519928).

1165112460 is an abundant number, since it is smaller than the sum of its proper divisors (2385927396).

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

1165112460 is a wasteful number, since it uses less digits than its factorization.

1165112460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30903 (or 30898 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1165112460 is about 34133.7437149809. The cubic root of 1165112460 is about 1052.2589190989.

The spelling of 1165112460 in words is "one billion, one hundred sixty-five million, one hundred twelve thousand, four hundred sixty".