10000580 has 12 divisors (see below), whose sum is σ = 21001260. Its totient is φ = 4000224.

The previous prime is 10000537. The next prime is 10000583. The reversal of 10000580 is 8500001.

It can be written as a sum of positive squares in 2 ways, for example, as 6959044 + 3041536 = 2638^2 + 1744^2 .

It is not an unprimeable number, because it can be changed into a prime (10000583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249995 + ... + 250034.

It is an arithmetic number, because the mean of its divisors is an integer number (1750105).

Almost surely, 2^10000580 is an apocalyptic number.

10000580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000580 is an abundant number, since it is smaller than the sum of its proper divisors (11000680).

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

10000580 is a wasteful number, since it uses less digits than its factorization.

10000580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500038 (or 500036 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 10000580 is about 3162.3693648908. The cubic root of 10000580 is about 215.4476341631.

Adding to 10000580 its reverse (8500001), we get a palindrome (18500581).

The spelling of 10000580 in words is "ten million, five hundred eighty", and thus it is an aban number.