10688768 has 36 divisors (see below), whose sum is σ = 21854448. Its totient is φ = 5214720.

The previous prime is 10688753. The next prime is 10688771. The reversal of 10688768 is 86788601.

It is a super-2 number, since 2×10688768² = 228499522715648, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 10523 + ... + 11493.

It is an arithmetic number, because the mean of its divisors is an integer number (607068).

Almost surely, 2^10688768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10927224).

10688768 is an abundant number, since it is smaller than the sum of its proper divisors (11165680).

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

10688768 is an frugal number, since it uses more digits than its factorization.

10688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 10688768 is about 3269.3681346707. The cubic root of 10688768 is about 220.2804137803.

The spelling of 10688768 in words is "ten million, six hundred eighty-eight thousand, seven hundred sixty-eight".