1166382000 has 240 divisors, whose sum is σ = 4656255552. Its totient is φ = 266572800.

The previous prime is 1166381999. The next prime is 1166382017. The reversal of 1166382000 is 2836611.

1166382000 is a `hidden beast` number, since 1 + 1 + 6 + 638 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121372 + ... + 130628.

Almost surely, 2^1166382000 is an apocalyptic number.

1166382000 is a gapful number since it is divisible by the number (10) 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 1166382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328127776).

1166382000 is an abundant number, since it is smaller than the sum of its proper divisors (3489873552).

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

1166382000 is a wasteful number, since it uses less digits than its factorization.

1166382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293 (or 9274 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1166382000 is about 34152.3352056635. The cubic root of 1166382000 is about 1052.6409708811.

The spelling of 1166382000 in words is "one billion, one hundred sixty-six million, three hundred eighty-two thousand".