1026580260 has 96 divisors (see below), whose sum is σ = 3039805440. Its totient is φ = 258139008.

The previous prime is 1026580259. The next prime is 1026580301. The reversal of 1026580260 is 620856201.

1026580260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256797 + ... + 260763.

It is an arithmetic number, because the mean of its divisors is an integer number (31664640).

Almost surely, 2^1026580260 is an apocalyptic number.

1026580260 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 1026580260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519902720).

1026580260 is an abundant number, since it is smaller than the sum of its proper divisors (2013225180).

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

1026580260 is a wasteful number, since it uses less digits than its factorization.

1026580260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1026580260 is about 32040.2911971786. The cubic root of 1026580260 is about 1008.7827245932.

It can be divided in two parts, 10265 and 80260, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 1026580260 in words is "one billion, twenty-six million, five hundred eighty thousand, two hundred sixty".