10852688 has 80 divisors (see below), whose sum is σ = 27426816. Its totient is φ = 4033920.

The previous prime is 10852661. The next prime is 10852717. The reversal of 10852688 is 88625801.

It is a super-3 number, since 3×10852688³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28145 + ... + 28527.

Almost surely, 2^10852688 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 10852688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713408).

10852688 is an abundant number, since it is smaller than the sum of its proper divisors (16574128).

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

10852688 is a wasteful number, since it uses less digits than its factorization.

10852688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 10852688 is about 3294.3418159019. The cubic root of 10852688 is about 221.4007592837.

It can be divided in two parts, 1085 and 2688, that added together give a palindrome (3773).

The spelling of 10852688 in words is "ten million, eight hundred fifty-two thousand, six hundred eighty-eight".