10580960 has 48 divisors (see below), whose sum is σ = 26925696. Its totient is φ = 3906048.

The previous prime is 10580959. The next prime is 10580971. The reversal of 10580960 is 6908501.

It is a super-2 number, since 2×10580960² = 223913429043200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 464 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (560952).

Almost surely, 2^10580960 is an apocalyptic number.

10580960 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 10580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13462848).

10580960 is an abundant number, since it is smaller than the sum of its proper divisors (16344736).

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

10580960 is a wasteful number, since it uses less digits than its factorization.

10580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 10580960 is about 3252.8387602216. The cubic root of 10580960 is about 219.5373196335.

The spelling of 10580960 in words is "ten million, five hundred eighty thousand, nine hundred sixty".