1026170000 has 100 divisors (see below), whose sum is σ = 2514554460. Its totient is φ = 405504000.

The previous prime is 1026169987. The next prime is 1026170011. The reversal of 1026170000 is 716201.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 798401536 + 227768464 = 28256^2 + 15092^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 889424 + ... + 890576.

Almost surely, 2^1026170000 is an apocalyptic number.

1026170000 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 1026170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257277230).

1026170000 is an abundant number, since it is smaller than the sum of its proper divisors (1488384460).

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

1026170000 is an equidigital number, since it uses as much as digits as its factorization.

1026170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1026170000 is about 32033.8883059800. Note that the first 3 decimals coincide. The cubic root of 1026170000 is about 1008.6483242089.

Adding to 1026170000 its reverse (716201), we get a palindrome (1026886201).

The spelling of 1026170000 in words is "one billion, twenty-six million, one hundred seventy thousand".