6677440 has 112 divisors (see below), whose sum is σ = 19897344. Its totient is φ = 2073600.

The previous prime is 6677423. The next prime is 6677459. The reversal of 6677440 is 447766.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 6677396 and 6677405.

It is a congruent number.

It is an unprimeable number.

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, 24505 + ... + 24775.

Almost surely, 2^6677440 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 6677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948672).

6677440 is an abundant number, since it is smaller than the sum of its proper divisors (13219904).

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

6677440 is a wasteful number, since it uses less digits than its factorization.

6677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 6677440 is about 2584.0743023373. The cubic root of 6677440 is about 188.3085321628.

It can be divided in two parts, 6677 and 440, that added together give a palindrome (7117).

The spelling of 6677440 in words is "six million, six hundred seventy-seven thousand, four hundred forty".