1167066000 has 240 divisors, whose sum is σ = 4254906240. Its totient is φ = 297580800.

The previous prime is 1167065983. The next prime is 1167066001. The reversal of 1167066000 is 6607611.

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

It is not an unprimeable number, because it can be changed into a prime (1167066001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412591 + ... + 415409.

It is an arithmetic number, because the mean of its divisors is an integer number (17728776).

Almost surely, 2^1167066000 is an apocalyptic number.

1167066000 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 1167066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127453120).

1167066000 is an abundant number, since it is smaller than the sum of its proper divisors (3087840240).

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

1167066000 is a wasteful number, since it uses less digits than its factorization.

1167066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1167066000 is about 34162.3476945013. The cubic root of 1167066000 is about 1052.8466969999.

The spelling of 1167066000 in words is "one billion, one hundred sixty-seven million, sixty-six thousand".