1166779520 has 32 divisors (see below), whose sum is σ = 2789333820. Its totient is φ = 466711552.

The previous prime is 1166779511. The next prime is 1166779529. The reversal of 1166779520 is 259776611.

It is an interprime number because it is at equal distance from previous prime (1166779511) and next prime (1166779529).

It can be written as a sum of positive squares in 2 ways, for example, as 994014784 + 172764736 = 31528^2 + 13144^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1166779520² = 2722748896582860800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1166779529) 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 3 ways as a sum of consecutive naturals, for example, 910907 + ... + 912186.

Almost surely, 2^1166779520 is an apocalyptic number.

1166779520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166779520 is an abundant number, since it is smaller than the sum of its proper divisors (1622554300).

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

1166779520 is an equidigital number, since it uses as much as digits as its factorization.

1166779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823112 (or 1823100 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 44.

The square root of 1166779520 is about 34158.1545168939. The cubic root of 1166779520 is about 1052.7605424309.

The spelling of 1166779520 in words is "one billion, one hundred sixty-six million, seven hundred seventy-nine thousand, five hundred twenty".