6774240 has 96 divisors (see below), whose sum is σ = 23296896. Its totient is φ = 1640960.

The previous prime is 6774223. The next prime is 6774247. The reversal of 6774240 is 424776.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6774198 and 6774207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4639 + ... + 5921.

It is an arithmetic number, because the mean of its divisors is an integer number (242676).

Almost surely, 2^6774240 is an apocalyptic number.

6774240 is a gapful number since it is divisible by the number (60) 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 6774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648448).

6774240 is an abundant number, since it is smaller than the sum of its proper divisors (16522656).

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

6774240 is a wasteful number, since it uses less digits than its factorization.

6774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 6774240 is about 2602.7370209070. The cubic root of 6774240 is about 189.2141130466.

The spelling of 6774240 in words is "six million, seven hundred seventy-four thousand, two hundred forty".