1026766170 has 192 divisors, whose sum is σ = 2973503520. Its totient is φ = 244629504.

The previous prime is 1026766163. The next prime is 1026766193. The reversal of 1026766170 is 716676201.

1026766170 is a `hidden beast` number, since 10 + 26 + 7 + 6 + 617 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 59120721 + 967645449 = 7689^2 + 31107^2 .

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 95 ways as a sum of consecutive naturals, for example, 3238852 + ... + 3239168.

Almost surely, 2^1026766170 is an apocalyptic number.

1026766170 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 1026766170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486751760).

1026766170 is an abundant number, since it is smaller than the sum of its proper divisors (1946737350).

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

1026766170 is a wasteful number, since it uses less digits than its factorization.

1026766170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1026766170 is about 32043.1922567025. The cubic root of 1026766170 is about 1008.8436165610.

The spelling of 1026766170 in words is "one billion, twenty-six million, seven hundred sixty-six thousand, one hundred seventy".