6516820 has 48 divisors (see below), whose sum is σ = 14773248. Its totient is φ = 2407680.

The previous prime is 6516787. The next prime is 6516833. The reversal of 6516820 is 286156.

6516820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×6516820⁴ (a number of 28 digits) contains 4444 as substring.

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, 14032 + ... + 14488.

It is an arithmetic number, because the mean of its divisors is an integer number (307776).

Almost surely, 2^6516820 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 6516820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386624).

6516820 is an abundant number, since it is smaller than the sum of its proper divisors (8256428).

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

6516820 is a wasteful number, since it uses less digits than its factorization.

6516820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 6516820 is about 2552.8062989581. The cubic root of 6516820 is about 186.7863956944.

The spelling of 6516820 in words is "six million, five hundred sixteen thousand, eight hundred twenty".