10286080 has 132 divisors (see below), whose sum is σ = 29403108. Its totient is φ = 3440640.

The previous prime is 10286069. The next prime is 10286093. The reversal of 10286080 is 8068201.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 8479744 = 1344^2 + 2912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250860 + ... + 250900.

Almost surely, 2^10286080 is an apocalyptic number.

10286080 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 10286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701554).

10286080 is an abundant number, since it is smaller than the sum of its proper divisors (19117028).

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

10286080 is an equidigital number, since it uses as much as digits as its factorization.

10286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10286080 is about 3207.1919181739. The cubic root of 10286080 is about 217.4786520642.

The spelling of 10286080 in words is "ten million, two hundred eighty-six thousand, eighty".