1166164830 has 128 divisors (see below), whose sum is σ = 3191270400. Its totient is φ = 302919552.

The previous prime is 1166164819. The next prime is 1166164903. The reversal of 1166164830 is 384616611.

1166164830 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 1 + 648 + 3 + 0 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3248191 + ... + 3248549.

It is an arithmetic number, because the mean of its divisors is an integer number (24931800).

Almost surely, 2^1166164830 is an apocalyptic number.

1166164830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166164830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595635200).

1166164830 is an abundant number, since it is smaller than the sum of its proper divisors (2025105570).

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

1166164830 is a wasteful number, since it uses less digits than its factorization.

1166164830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1166164830 is about 34149.1556264573. The cubic root of 1166164830 is about 1052.5756360168.

The spelling of 1166164830 in words is "one billion, one hundred sixty-six million, one hundred sixty-four thousand, eight hundred thirty".