1166105620 has 24 divisors (see below), whose sum is σ = 2577708000. Its totient is φ = 441892512.

The previous prime is 1166105593. The next prime is 1166105623. The reversal of 1166105620 is 265016611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166105623) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1533970 + ... + 1534729.

It is an arithmetic number, because the mean of its divisors is an integer number (107404500).

Almost surely, 2^1166105620 is an apocalyptic number.

1166105620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166105620 is an abundant number, since it is smaller than the sum of its proper divisors (1411602380).

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

1166105620 is a wasteful number, since it uses less digits than its factorization.

1166105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068727 (or 3068725 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1166105620 is about 34148.2886833294. The cubic root of 1166105620 is about 1052.5578214802.

The spelling of 1166105620 in words is "one billion, one hundred sixty-six million, one hundred five thousand, six hundred twenty".