839268 has 48 divisors (see below), whose sum is σ = 2296000. Its totient is φ = 264384.

The previous prime is 839261. The next prime is 839269. The reversal of 839268 is 862938.

839268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 8 + 3⁷ + 2¹⁹ + 9² + 6⁷ + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (839261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1848 + ... + 2256.

2⁸³⁹²⁶⁸ 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 839268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148000).

839268 is an abundant number, since it is smaller than the sum of its proper divisors (1456732).

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

839268 is a wasteful number, since it uses less digits than its factorization.

839268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 839268 is about 916.1157132153. The cubic root of 839268 is about 94.3264640857.

The spelling of 839268 in words is "eight hundred thirty-nine thousand, two hundred sixty-eight".