10580840 has 32 divisors (see below), whose sum is σ = 24101280. Its totient is φ = 4180032.

The previous prime is 10580821. The next prime is 10580849. The reversal of 10580840 is 4808501.

It is a super-2 number, since 2×10580840² = 223908350211200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10580849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1727 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (753165).

Almost surely, 2^10580840 is an apocalyptic number.

10580840 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 10580840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050640).

10580840 is an abundant number, since it is smaller than the sum of its proper divisors (13520440).

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

10580840 is a wasteful number, since it uses less digits than its factorization.

10580840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 10580840 is about 3252.8203147423. The cubic root of 10580840 is about 219.5364896969.

The spelling of 10580840 in words is "ten million, five hundred eighty thousand, eight hundred forty".