10834164 has 72 divisors (see below), whose sum is σ = 30270240. Its totient is φ = 3240000.

The previous prime is 10834147. The next prime is 10834177. The reversal of 10834164 is 46143801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43039 + ... + 43289.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 2^10834164 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 10834164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135120).

10834164 is an abundant number, since it is smaller than the sum of its proper divisors (19436076).

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

10834164 is a wasteful number, since it uses less digits than its factorization.

10834164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10834164 is about 3291.5291279282. The cubic root of 10834164 is about 221.2747209761.

Adding to 10834164 its reverse (46143801), we get a palindrome (56977965).

The spelling of 10834164 in words is "ten million, eight hundred thirty-four thousand, one hundred sixty-four".