10681216 has 96 divisors (see below), whose sum is σ = 26860680. Its totient is φ = 4193280.

The previous prime is 10681189. The next prime is 10681217. The reversal of 10681216 is 61218601.

It is a super-2 number, since 2×10681216² = 228176750477312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81471 + ... + 81601.

Almost surely, 2^10681216 is an apocalyptic number.

10681216 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 10681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430340).

10681216 is an abundant number, since it is smaller than the sum of its proper divisors (16179464).

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

10681216 is a wasteful number, since it uses less digits than its factorization.

10681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 10681216 is about 3268.2129673569. The cubic root of 10681216 is about 220.2285228725.

Adding to 10681216 its reverse (61218601), we get a palindrome (71899817).

The spelling of 10681216 in words is "ten million, six hundred eighty-one thousand, two hundred sixteen".