1026838080 has 224 divisors, whose sum is σ = 3836090880. Its totient is φ = 257679360.

The previous prime is 1026838067. The next prime is 1026838133. The reversal of 1026838080 is 808386201.

1026838080 is a `hidden beast` number, since 10 + 268 + 380 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 143385 + ... + 150375.

Almost surely, 2^1026838080 is an apocalyptic number.

1026838080 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 1026838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918045440).

1026838080 is an abundant number, since it is smaller than the sum of its proper divisors (2809252800).

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

1026838080 is a wasteful number, since it uses less digits than its factorization.

1026838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1026838080 is about 32044.3143162715. The cubic root of 1026838080 is about 1008.8671676067.

The spelling of 1026838080 in words is "one billion, twenty-six million, eight hundred thirty-eight thousand, eighty".