10839000 has 64 divisors (see below), whose sum is σ = 33827040. Its totient is φ = 2889600.

The previous prime is 10838981. The next prime is 10839061. The reversal of 10839000 is 93801.

10839000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194 + ... + 4806.

Almost surely, 2^10839000 is an apocalyptic number.

10839000 is a gapful number since it is divisible by the number (10) 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 10839000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913520).

10839000 is an abundant number, since it is smaller than the sum of its proper divisors (22988040).

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

10839000 is a wasteful number, since it uses less digits than its factorization.

10839000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10839000 is about 3292.2636589435. The cubic root of 10839000 is about 221.3076392328.

The spelling of 10839000 in words is "ten million, eight hundred thirty-nine thousand".