1026809280 has 504 divisors, whose sum is σ = 4249436256. Its totient is φ = 222842880.

The previous prime is 1026809269. The next prime is 1026809281. The reversal of 1026809280 is 829086201.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026809281) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 19373734 + ... + 19373786.

Almost surely, 2^1026809280 is an apocalyptic number.

1026809280 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 1026809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124718128).

1026809280 is an abundant number, since it is smaller than the sum of its proper divisors (3222626976).

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

1026809280 is a wasteful number, since it uses less digits than its factorization.

1026809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1026809280 is about 32043.8649354287. The cubic root of 1026809280 is about 1008.8577355302.

The spelling of 1026809280 in words is "one billion, twenty-six million, eight hundred nine thousand, two hundred eighty".