10935808 has 80 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 4792320.

The previous prime is 10935797. The next prime is 10935809. The reversal of 10935808 is 80853901.

It is a super-2 number, since 2×10935808² = 239183793225728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10935809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206310 + ... + 206362.

Almost surely, 2^10935808 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 10935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

10935808 is an abundant number, since it is smaller than the sum of its proper divisors (13812608).

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

10935808 is an equidigital number, since it uses as much as digits as its factorization.

10935808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 10935808 is about 3306.9333225815. The cubic root of 10935808 is about 221.9645534943.

The spelling of 10935808 in words is "ten million, nine hundred thirty-five thousand, eight hundred eight".