10689856 has 56 divisors (see below), whose sum is σ = 22860000. Its totient is φ = 4944384.

The previous prime is 10689853. The next prime is 10689859. The reversal of 10689856 is 65898601.

It is an interprime number because it is at equal distance from previous prime (10689853) and next prime (10689859).

It is a super-2 number, since 2×10689856² = 228546042601472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10689853) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71670 + ... + 71818.

Almost surely, 2^10689856 is an apocalyptic number.

10689856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10689856 is the 1888-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430000).

10689856 is an abundant number, since it is smaller than the sum of its proper divisors (12170144).

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

10689856 is a wasteful number, since it uses less digits than its factorization.

10689856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 10689856 is about 3269.5345234452. The cubic root of 10689856 is about 220.2878875746.

The spelling of 10689856 in words is "ten million, six hundred eighty-nine thousand, eight hundred fifty-six".