10839168 has 72 divisors (see below), whose sum is σ = 31515705. Its totient is φ = 3575808.

The previous prime is 10839167. The next prime is 10839197. The reversal of 10839168 is 86193801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 28224 = 3288^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2328.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10839161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111696 + ... + 111792.

Almost surely, 2^10839168 is an apocalyptic number.

10839168 is a gapful number since it is divisible by the number (18) 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 10839168

10839168 is an abundant number, since it is smaller than the sum of its proper divisors (20676537).

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

10839168 is an frugal number, since it uses more digits than its factorization.

10839168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 10839168 is about 3292.2891732046. The cubic root of 10839168 is about 221.3087826191.

Multiplying 10839168 by its product of nonzero digits (10368), we get a square (112380493824 = 335232²).

The spelling of 10839168 in words is "ten million, eight hundred thirty-nine thousand, one hundred sixty-eight".