6677136 has 60 divisors (see below), whose sum is σ = 18932940. Its totient is φ = 2196480.

The previous prime is 6677129. The next prime is 6677147. The reversal of 6677136 is 6317766.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 5089536 = 1260^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6677136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12556 + ... + 13076.

It is an arithmetic number, because the mean of its divisors is an integer number (315549).

Almost surely, 2^6677136 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 6677136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9466470).

6677136 is an abundant number, since it is smaller than the sum of its proper divisors (12255804).

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

6677136 is a wasteful number, since it uses less digits than its factorization.

6677136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 6677136 is about 2584.0154798298. The cubic root of 6677136 is about 188.3056744478.

The spelling of 6677136 in words is "six million, six hundred seventy-seven thousand, one hundred thirty-six".