827663166 has 48 divisors (see below), whose sum is σ = 1960702848. Its totient is φ = 250242000.

The previous prime is 827663153. The next prime is 827663201. The reversal of 827663166 is 661366728.

827663166 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 631 + 6 + 6 = 666.

827663166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87991 + ... + 96941.

It is an arithmetic number, because the mean of its divisors is an integer number (40847976).

Almost surely, 2^827663166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827663166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980351424).

827663166 is an abundant number, since it is smaller than the sum of its proper divisors (1133039682).

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

827663166 is a wasteful number, since it uses less digits than its factorization.

827663166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9434 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 827663166 is about 28769.1356491640. The cubic root of 827663166 is about 938.8968369892.

The spelling of 827663166 in words is "eight hundred twenty-seven million, six hundred sixty-three thousand, one hundred sixty-six".