1166989824 has 720 divisors, whose sum is σ = 4754445696. Its totient is φ = 267632640.

The previous prime is 1166989793. The next prime is 1166989907. The reversal of 1166989824 is 4289896611.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50738677 + ... + 50738699.

Almost surely, 2^1166989824 is an apocalyptic number.

1166989824 is a gapful number since it is divisible by the number (14) 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 1166989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377222848).

1166989824 is an abundant number, since it is smaller than the sum of its proper divisors (3587455872).

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

1166989824 is a wasteful number, since it uses less digits than its factorization.

1166989824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1166989824 is about 34161.2327646413. The cubic root of 1166989824 is about 1052.8237895851.

The spelling of 1166989824 in words is "one billion, one hundred sixty-six million, nine hundred eighty-nine thousand, eight hundred twenty-four".