1026839268 has 432 divisors, whose sum is σ = 3581061120. Its totient is φ = 251102592.

The previous prime is 1026839197. The next prime is 1026839293. The reversal of 1026839268 is 8629386201.

1026839268 = 369³ + 370³ + ... + 387³.

1026839268 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 143 ways as a sum of consecutive naturals, for example, 21847621 + ... + 21847667.

Almost surely, 2^1026839268 is an apocalyptic number.

1026839268 is a gapful number since it is divisible by the number (18) 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 1026839268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790530560).

1026839268 is an abundant number, since it is smaller than the sum of its proper divisors (2554221852).

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

1026839268 is a wasteful number, since it uses less digits than its factorization.

1026839268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1026839268 is about 32044.3328530959. The cubic root of 1026839268 is about 1008.8675566761.

The spelling of 1026839268 in words is "one billion, twenty-six million, eight hundred thirty-nine thousand, two hundred sixty-eight".