1166959872 has 378 divisors, whose sum is σ = 3883968942. Its totient is φ = 349360128.

The previous prime is 1166959867. The next prime is 1166959873. The reversal of 1166959872 is 2789596611.

It can be written as a sum of positive squares in 3 ways, for example, as 60466176 + 1106493696 = 7776^2 + 33264^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166959873) 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 41 ways as a sum of consecutive naturals, for example, 31539438 + ... + 31539474.

Almost surely, 2^1166959872 is an apocalyptic number.

1166959872 is a gapful number since it is divisible by the number (12) 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 1166959872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941984471).

1166959872 is an abundant number, since it is smaller than the sum of its proper divisors (2717009070).

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

1166959872 is an frugal number, since it uses more digits than its factorization.

1166959872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 55 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1166959872 is about 34160.7943701548. The cubic root of 1166959872 is about 1052.8147822378.

The spelling of 1166959872 in words is "one billion, one hundred sixty-six million, nine hundred fifty-nine thousand, eight hundred seventy-two".