10580972 has 12 divisors (see below), whose sum is σ = 18545520. Its totient is φ = 5282256.

The previous prime is 10580971. The next prime is 10581031. The reversal of 10580972 is 27908501.

It is a super-2 number, since 2×10580972² = 223913936929568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10580971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1529 + ... + 4847.

It is an arithmetic number, because the mean of its divisors is an integer number (1545460).

Almost surely, 2^10580972 is an apocalyptic number.

It is an amenable number.

10580972 is a deficient number, since it is larger than the sum of its proper divisors (7964548).

10580972 is a wasteful number, since it uses less digits than its factorization.

10580972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10580972 is about 3252.8406047638. The cubic root of 10580972 is about 219.5374026268.

The spelling of 10580972 in words is "ten million, five hundred eighty thousand, nine hundred seventy-two".