6677406 has 36 divisors (see below), whose sum is σ = 15216552. Its totient is φ = 2112264.

The previous prime is 6677401. The next prime is 6677423. The reversal of 6677406 is 6047766.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52515 + ... + 52641.

It is an arithmetic number, because the mean of its divisors is an integer number (422682).

Almost surely, 2^6677406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608276).

6677406 is an abundant number, since it is smaller than the sum of its proper divisors (8539146).

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

6677406 is a wasteful number, since it uses less digits than its factorization.

6677406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 6677406 is about 2584.0677235707. The cubic root of 6677406 is about 188.3082125543.

The spelling of 6677406 in words is "six million, six hundred seventy-seven thousand, four hundred six".