10680468 has 48 divisors (see below), whose sum is σ = 26369280. Its totient is φ = 3359104.

The previous prime is 10680463. The next prime is 10680473. The reversal of 10680468 is 86408601.

It is an interprime number because it is at equal distance from previous prime (10680463) and next prime (10680473).

It is a super-2 number, since 2×10680468² = 228144793398048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680463) 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 15 ways as a sum of consecutive naturals, for example, 16030 + ... + 16682.

It is an arithmetic number, because the mean of its divisors is an integer number (549360).

Almost surely, 2^10680468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10680468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13184640).

10680468 is an abundant number, since it is smaller than the sum of its proper divisors (15688812).

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

10680468 is a wasteful number, since it uses less digits than its factorization.

10680468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 10680468 is about 3268.0985297264. The cubic root of 10680468 is about 220.2233819228.

The spelling of 10680468 in words is "ten million, six hundred eighty thousand, four hundred sixty-eight".