10580128 has 48 divisors (see below), whose sum is σ = 23231880. Its totient is φ = 4709376.

The previous prime is 10580071. The next prime is 10580147. The reversal of 10580128 is 82108501.

It can be written as a sum of positive squares in 4 ways, for example, as 9072144 + 1507984 = 3012^2 + 1228^2 .

It is a super-2 number, since 2×10580128² = 223878216992768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11626 + ... + 12502.

Almost surely, 2^10580128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10580128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615940).

10580128 is an abundant number, since it is smaller than the sum of its proper divisors (12651752).

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

10580128 is a wasteful number, since it uses less digits than its factorization.

10580128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 10580128 is about 3252.7108694134. The cubic root of 10580128 is about 219.5315652773.

Adding to 10580128 its reverse (82108501), we get a palindrome (92688629).

The spelling of 10580128 in words is "ten million, five hundred eighty thousand, one hundred twenty-eight".