6677424 has 160 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 1935360.

The previous prime is 6677423. The next prime is 6677459. The reversal of 6677424 is 4247766.

6677424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 6³ + 6⁸ + 7² + 7⁵ + 4⁹ + 2¹⁹ + 4¹¹ .

It is not an unprimeable number, because it can be changed into a prime (6677423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162844 + ... + 162884.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^6677424 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 6677424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).

6677424 is an abundant number, since it is smaller than the sum of its proper divisors (15196176).

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

6677424 is a wasteful number, since it uses less digits than its factorization.

6677424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 6677424 is about 2584.0712064492. The cubic root of 6677424 is about 188.3083817589.

The spelling of 6677424 in words is "six million, six hundred seventy-seven thousand, four hundred twenty-four".