6742120 has 96 divisors (see below), whose sum is σ = 19152000. Its totient is φ = 2090880.

The previous prime is 6742117. The next prime is 6742171. The reversal of 6742120 is 212476.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 6742091 and 6742100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33781 + ... + 33979.

It is an arithmetic number, because the mean of its divisors is an integer number (199500).

Almost surely, 2^6742120 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 6742120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576000).

6742120 is an abundant number, since it is smaller than the sum of its proper divisors (12409880).

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

6742120 is a wasteful number, since it uses less digits than its factorization.

6742120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 6742120 is about 2596.5592617924. The cubic root of 6742120 is about 188.9145867895.

Adding to 6742120 its reverse (212476), we get a palindrome (6954596).

The spelling of 6742120 in words is "six million, seven hundred forty-two thousand, one hundred twenty".