10686320 has 60 divisors (see below), whose sum is σ = 25857720. Its totient is φ = 4106880.

The previous prime is 10686307. The next prime is 10686323. The reversal of 10686320 is 2368601.

It is a super-2 number, since 2×10686320² = 228394870284800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10686320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10686323) 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, 76811 + ... + 76949.

It is an arithmetic number, because the mean of its divisors is an integer number (430962).

Almost surely, 2^10686320 is an apocalyptic number.

10686320 is a gapful number since it is divisible by the number (10) 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 10686320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928860).

10686320 is an abundant number, since it is smaller than the sum of its proper divisors (15171400).

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

10686320 is a wasteful number, since it uses less digits than its factorization.

10686320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10686320 is about 3268.9937289631. The cubic root of 10686320 is about 220.2635958887.

The spelling of 10686320 in words is "ten million, six hundred eighty-six thousand, three hundred twenty".