10580000 has 90 divisors (see below), whose sum is σ = 27209259. Its totient is φ = 4048000.

The previous prime is 10579999. The next prime is 10580047. The reversal of 10580000 is 8501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 2446096 + 8133904 = 1564^2 + 2852^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2300.

It is a super-2 number, since 2×10580000² = 223872800000000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 459989 + ... + 460011.

Almost surely, 2^10580000 is an apocalyptic number.

10580000 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 10580000

10580000 is an abundant number, since it is smaller than the sum of its proper divisors (16629259).

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

10580000 is an frugal number, since it uses more digits than its factorization.

10580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 30 counting only the distinct ones).

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

The square root of 10580000 is about 3252.6911934581. The cubic root of 10580000 is about 219.5306799650.

Adding to 10580000 its reverse (8501), we get a palindrome (10588501).

The spelling of 10580000 in words is "ten million, five hundred eighty thousand".