10585216 has 32 divisors (see below), whose sum is σ = 21612780. Its totient is φ = 5160960.

The previous prime is 10585171. The next prime is 10585217. The reversal of 10585216 is 61258501.

It can be written as a sum of positive squares in 2 ways, for example, as 10497600 + 87616 = 3240^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10585216² = 224093595533312, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585217) 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, 4240 + ... + 6256.

Almost surely, 2^10585216 is an apocalyptic number.

10585216 is a gapful number since it is divisible by the number (16) 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 10585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10806390).

10585216 is an abundant number, since it is smaller than the sum of its proper divisors (11027564).

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

10585216 is an equidigital number, since it uses as much as digits as its factorization.

10585216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 10585216 is about 3253.4928922621. The cubic root of 10585216 is about 219.5667506614.

It can be divided in two parts, 10585 and 216, that added together give a palindrome (10801).

The spelling of 10585216 in words is "ten million, five hundred eighty-five thousand, two hundred sixteen".