6677814 has 64 divisors (see below), whose sum is σ = 16144128. Its totient is φ = 1814400.

The previous prime is 6677813. The next prime is 6677831. The reversal of 6677814 is 4187766.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677813) 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 31 ways as a sum of consecutive naturals, for example, 36804 + ... + 36984.

It is an arithmetic number, because the mean of its divisors is an integer number (252252).

Almost surely, 2^6677814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072064).

6677814 is an abundant number, since it is smaller than the sum of its proper divisors (9466314).

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

6677814 is a wasteful number, since it uses less digits than its factorization.

6677814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its digits is 56448, while the sum is 39.

The square root of 6677814 is about 2584.1466676642. The cubic root of 6677814 is about 188.3120477854.

The spelling of 6677814 in words is "six million, six hundred seventy-seven thousand, eight hundred fourteen".