10834816 has 32 divisors (see below), whose sum is σ = 22056480. Its totient is φ = 5299200.

The previous prime is 10834801. The next prime is 10834829. The reversal of 10834816 is 61843801.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5116 + ... + 6916.

It is an arithmetic number, because the mean of its divisors is an integer number (689265).

Almost surely, 2^10834816 is an apocalyptic number.

10834816 is a gapful number since it is divisible by the number (16) 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 10834816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028240).

10834816 is an abundant number, since it is smaller than the sum of its proper divisors (11221664).

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

10834816 is an equidigital number, since it uses as much as digits as its factorization.

10834816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 10834816 is about 3291.6281685512. The cubic root of 10834816 is about 221.2791596581.

The spelling of 10834816 in words is "ten million, eight hundred thirty-four thousand, eight hundred sixteen".