1166577984 has 224 divisors, whose sum is σ = 4029943680. Its totient is φ = 326246400.

The previous prime is 1166577953. The next prime is 1166577991. The reversal of 1166577984 is 4897756611.

1166577984 is a `hidden beast` number, since 1 + 1 + 66 + 577 + 9 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1166577984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244744 + ... + 249464.

It is an arithmetic number, because the mean of its divisors is an integer number (17990820).

Almost surely, 2^1166577984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014971840).

1166577984 is an abundant number, since it is smaller than the sum of its proper divisors (2863365696).

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

1166577984 is a wasteful number, since it uses less digits than its factorization.

1166577984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4750 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 1166577984 is about 34155.2043472148. The cubic root of 1166577984 is about 1052.6999250472.

The spelling of 1166577984 in words is "one billion, one hundred sixty-six million, five hundred seventy-seven thousand, nine hundred eighty-four".