6836144 has 40 divisors (see below), whose sum is σ = 15379968. Its totient is φ = 2882880.

The previous prime is 6836131. The next prime is 6836149. The reversal of 6836144 is 4416386.

It is a self number, because there is not a number n which added to its sum of digits gives 6836144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6836149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7049 + ... + 7959.

Almost surely, 2^6836144 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 6836144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689984).

6836144 is an abundant number, since it is smaller than the sum of its proper divisors (8543824).

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

6836144 is a wasteful number, since it uses less digits than its factorization.

6836144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 6836144 is about 2614.6020729740. The cubic root of 6836144 is about 189.7887217496.

The spelling of 6836144 in words is "six million, eight hundred thirty-six thousand, one hundred forty-four".