10682406 has 48 divisors (see below), whose sum is σ = 26676000. Its totient is φ = 3026304.

The previous prime is 10682387. The next prime is 10682417. The reversal of 10682406 is 60428601.

It is a super-2 number, since 2×10682406² = 228227595897672, 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 10682406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18490 + ... + 19058.

It is an arithmetic number, because the mean of its divisors is an integer number (555750).

Almost surely, 2^10682406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10682406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338000).

10682406 is an abundant number, since it is smaller than the sum of its proper divisors (15993594).

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

10682406 is a wasteful number, since it uses less digits than its factorization.

10682406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10682406 is about 3268.3950189657. The cubic root of 10682406 is about 220.2367011613.

The spelling of 10682406 in words is "ten million, six hundred eighty-two thousand, four hundred six".