6742128 has 80 divisors (see below), whose sum is σ = 18855936. Its totient is φ = 2069760.

The previous prime is 6742117. The next prime is 6742171. The reversal of 6742128 is 8212476.

Its product of digits (5376) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 6742095 and 6742104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34126 + ... + 34322.

Almost surely, 2^6742128 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 6742128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9427968).

6742128 is an abundant number, since it is smaller than the sum of its proper divisors (12113808).

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

6742128 is a wasteful number, since it uses less digits than its factorization.

6742128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 6742128 is about 2596.5608022921. The cubic root of 6742128 is about 188.9146615096.

It can be divided in two parts, 67 and 42128, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 6742128 in words is "six million, seven hundred forty-two thousand, one hundred twenty-eight".