6542120 has 64 divisors (see below), whose sum is σ = 16571520. Its totient is φ = 2306304.

The previous prime is 6542119. The next prime is 6542131. The reversal of 6542120 is 212456.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 6542092 and 6542101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11687 + ... + 12233.

It is an arithmetic number, because the mean of its divisors is an integer number (258930).

Almost surely, 2^6542120 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 6542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285760).

6542120 is an abundant number, since it is smaller than the sum of its proper divisors (10029400).

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

6542120 is a wasteful number, since it uses less digits than its factorization.

6542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 6542120 is about 2557.7568297240. The cubic root of 6542120 is about 187.0278014467.

Adding to 6542120 its reverse (212456), we get a palindrome (6754576).

The spelling of 6542120 in words is "six million, five hundred forty-two thousand, one hundred twenty".