10688256 has 54 divisors (see below), whose sum is σ = 30823520. Its totient is φ = 3561984.

The previous prime is 10688239. The next prime is 10688281. The reversal of 10688256 is 65288601.

It is a happy number.

It is a super-2 number, since 2×10688256² = 228477632643072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10688256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16 + ... + 4623.

Almost surely, 2^10688256 is an apocalyptic number.

10688256 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 10688256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411760).

10688256 is an abundant number, since it is smaller than the sum of its proper divisors (20135264).

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

10688256 is an equidigital number, since it uses as much as digits as its factorization.

10688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 10688256 is about 3269.2898311407. The cubic root of 10688256 is about 220.2768965252.

The spelling of 10688256 in words is "ten million, six hundred eighty-eight thousand, two hundred fifty-six".