10935834 has 32 divisors (see below), whose sum is σ = 26920320. Its totient is φ = 2884032.

The previous prime is 10935809. The next prime is 10935851. The reversal of 10935834 is 43853901.

It is a junction number, because it is equal to n+sod(n) for n = 10935795 and 10935804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9469 + ... + 10560.

It is an arithmetic number, because the mean of its divisors is an integer number (841260).

Almost surely, 2^10935834 is an apocalyptic number.

10935834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10935834 is an abundant number, since it is smaller than the sum of its proper divisors (15984486).

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

10935834 is a wasteful number, since it uses less digits than its factorization.

10935834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20054.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 10935834 is about 3306.9372537138. The cubic root of 10935834 is about 221.9647294019.

The spelling of 10935834 in words is "ten million, nine hundred thirty-five thousand, eight hundred thirty-four".