6774144 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 1959936.

The previous prime is 6774133. The next prime is 6774149. The reversal of 6774144 is 4414776.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (18816) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774149) 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 15 ways as a sum of consecutive naturals, for example, 114787 + ... + 114845.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^6774144 is an apocalyptic number.

6774144 is a gapful number since it is divisible by the number (64) 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 6774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

6774144 is an abundant number, since it is smaller than the sum of its proper divisors (13789056).

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

6774144 is a wasteful number, since it uses less digits than its factorization.

6774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 6774144 is about 2602.7185787173. The cubic root of 6774144 is about 189.2132192371.

The spelling of 6774144 in words is "six million, seven hundred seventy-four thousand, one hundred forty-four".