10268688 has 80 divisors (see below), whose sum is σ = 28061696. Its totient is φ = 3231360.

The previous prime is 10268681. The next prime is 10268689. The reversal of 10268688 is 88686201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10268681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99645 + ... + 99747.

Almost surely, 2^10268688 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 10268688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030848).

10268688 is an abundant number, since it is smaller than the sum of its proper divisors (17793008).

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

10268688 is a wasteful number, since it uses less digits than its factorization.

10268688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 10268688 is about 3204.4793648891. The cubic root of 10268688 is about 217.3560098620.

The spelling of 10268688 in words is "ten million, two hundred sixty-eight thousand, six hundred eighty-eight".