10688868 has 48 divisors (see below), whose sum is σ = 29176000. Its totient is φ = 3374784.

The previous prime is 10688863. The next prime is 10688891. The reversal of 10688868 is 86888601.

It is a happy number.

It is a super-2 number, since 2×10688868² = 228503798242848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10688861) 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, 553 + ... + 4656.

Almost surely, 2^10688868 is an apocalyptic number.

10688868 is a gapful number since it is divisible by the number (18) 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 10688868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588000).

10688868 is an abundant number, since it is smaller than the sum of its proper divisors (18487132).

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

10688868 is a wasteful number, since it uses less digits than its factorization.

10688868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 10688868 is about 3269.3834281100. The cubic root of 10688868 is about 220.2811007311.

The spelling of 10688868 in words is "ten million, six hundred eighty-eight thousand, eight hundred sixty-eight".