6872838 has 48 divisors (see below), whose sum is σ = 16221744. Its totient is φ = 1935360.

The previous prime is 6872821. The next prime is 6872849. The reversal of 6872838 is 8382786.

6872838 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) 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 (42).

6872838 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 6872838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28398 + ... + 28638.

It is an arithmetic number, because the mean of its divisors is an integer number (337953).

Almost surely, 2^6872838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6872838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110872).

6872838 is an abundant number, since it is smaller than the sum of its proper divisors (9348906).

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

6872838 is a wasteful number, since it uses less digits than its factorization.

6872838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 6872838 is about 2621.6098107842. The cubic root of 6872838 is about 190.1276888678.

The spelling of 6872838 in words is "six million, eight hundred seventy-two thousand, eight hundred thirty-eight".