10686336 has 64 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 3350528.

The previous prime is 10686323. The next prime is 10686349. The reversal of 10686336 is 63368601.

It is an interprime number because it is at equal distance from previous prime (10686323) and next prime (10686349).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10686336² = 228395554209792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10686297 and 10686306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5710 + ... + 7346.

Almost surely, 2^10686336 is an apocalyptic number.

10686336 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 10686336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

10686336 is an abundant number, since it is smaller than the sum of its proper divisors (19387344).

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

10686336 is a wasteful number, since it uses less digits than its factorization.

10686336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 10686336 is about 3268.9961761984. The cubic root of 10686336 is about 220.2637058179.

The spelling of 10686336 in words is "ten million, six hundred eighty-six thousand, three hundred thirty-six".