6677892 has 72 divisors (see below), whose sum is σ = 19160960. Its totient is φ = 1944000.

The previous prime is 6677887. The next prime is 6677893. The reversal of 6677892 is 2987766.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677893) 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 23 ways as a sum of consecutive naturals, for example, 8517 + ... + 9267.

Almost surely, 2^6677892 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 6677892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9580480).

6677892 is an abundant number, since it is smaller than the sum of its proper divisors (12483068).

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

6677892 is a wasteful number, since it uses less digits than its factorization.

6677892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 788 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 6677892 is about 2584.1617596428. The cubic root of 6677892 is about 188.3127809735.

It can be divided in two parts, 6677 and 892, that added together give a square (7569 = 87²).

The spelling of 6677892 in words is "six million, six hundred seventy-seven thousand, eight hundred ninety-two".