6877640 has 144 divisors (see below), whose sum is σ = 20468700. Its totient is φ = 2069760.

The previous prime is 6877613. The next prime is 6877649. The reversal of 6877640 is 467786.

It can be written as a sum of positive squares in 2 ways, for example, as 6853924 + 23716 = 2618^2 + 154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6877594 and 6877603.

It is not an unprimeable number, because it can be changed into a prime (6877649) 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 35 ways as a sum of consecutive naturals, for example, 237146 + ... + 237174.

Almost surely, 2^6877640 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 6877640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234350).

6877640 is an abundant number, since it is smaller than the sum of its proper divisors (13591060).

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

6877640 is a wasteful number, since it uses less digits than its factorization.

6877640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 6877640 is about 2622.5255003527. The cubic root of 6877640 is about 190.1719588191.

The spelling of 6877640 in words is "six million, eight hundred seventy-seven thousand, six hundred forty".