1026834816 has 256 divisors, whose sum is σ = 3447567360. Its totient is φ = 263847936.

The previous prime is 1026834733. The next prime is 1026834821. The reversal of 1026834816 is 6184386201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050520 + ... + 1051496.

It is an arithmetic number, because the mean of its divisors is an integer number (13467060).

Almost surely, 2^1026834816 is an apocalyptic number.

1026834816 is a gapful number since it is divisible by the number (16) 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 1026834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723783680).

1026834816 is an abundant number, since it is smaller than the sum of its proper divisors (2420732544).

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

1026834816 is a wasteful number, since it uses less digits than its factorization.

1026834816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1026834816 is about 32044.2633867593. The cubic root of 1026834816 is about 1008.8660986469.

The spelling of 1026834816 in words is "one billion, twenty-six million, eight hundred thirty-four thousand, eight hundred sixteen".