10680912 has 90 divisors (see below), whose sum is σ = 32909786. Its totient is φ = 3231360.

The previous prime is 10680893. The next prime is 10680919. The reversal of 10680912 is 21908601.

It can be written as a sum of positive squares in only one way, i.e., 5645376 + 5035536 = 2376^2 + 2244^2 .

It is a super-2 number, since 2×10680912² = 228163762303488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680919) 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 17 ways as a sum of consecutive naturals, for example, 17118 + ... + 17730.

Almost surely, 2^10680912 is an apocalyptic number.

10680912 is a gapful number since it is divisible by the number (12) 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 10680912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16454893).

10680912 is an abundant number, since it is smaller than the sum of its proper divisors (22228874).

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

10680912 is a wasteful number, since it uses less digits than its factorization.

10680912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10680912 is about 3268.1664584289. The cubic root of 10680912 is about 220.2264335315.

It can be divided in two parts, 106 and 80912, that added together give a palindrome (81018).

The spelling of 10680912 in words is "ten million, six hundred eighty thousand, nine hundred twelve".