1027661166 has 48 divisors (see below), whose sum is σ = 2558800608. Its totient is φ = 291988800.

The previous prime is 1027661147. The next prime is 1027661207. The reversal of 1027661166 is 6611667201.

1027661166 is a `hidden beast` number, since 10 + 27 + 6 + 611 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1027661166.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276 + ... + 45336.

It is an arithmetic number, because the mean of its divisors is an integer number (53308346).

Almost surely, 2^1027661166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027661166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279400304).

1027661166 is an abundant number, since it is smaller than the sum of its proper divisors (1531139442).

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

1027661166 is a wasteful number, since it uses less digits than its factorization.

1027661166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45257 (or 45254 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1027661166 is about 32057.1546772324. The cubic root of 1027661166 is about 1009.1366559467.

The spelling of 1027661166 in words is "one billion, twenty-seven million, six hundred sixty-one thousand, one hundred sixty-six".