6424128 has 84 divisors (see below), whose sum is σ = 19415760. Its totient is φ = 2025216.

The previous prime is 6424123. The next prime is 6424129. The reversal of 6424128 is 8214246.

6424128 is a `hidden beast` number, since 642 + 4 + 12 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6424123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10651 + ... + 11237.

It is an arithmetic number, because the mean of its divisors is an integer number (231140).

Almost surely, 2^6424128 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 6424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707880).

6424128 is an abundant number, since it is smaller than the sum of its proper divisors (12991632).

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

6424128 is a wasteful number, since it uses less digits than its factorization.

6424128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 6424128 is about 2534.5863567849. The cubic root of 6424128 is about 185.8965779538.

The spelling of 6424128 in words is "six million, four hundred twenty-four thousand, one hundred twenty-eight".