6546820 has 48 divisors (see below), whose sum is σ = 15902208. Its totient is φ = 2217600.

The previous prime is 6546803. The next prime is 6546823. The reversal of 6546820 is 286456.

It is a super-2 number, since 2×6546820² = 85721704224800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6546823) by changing a digit.

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, 13909 + ... + 14371.

It is an arithmetic number, because the mean of its divisors is an integer number (331296).

Almost surely, 2^6546820 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 6546820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7951104).

6546820 is an abundant number, since it is smaller than the sum of its proper divisors (9355388).

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

6546820 is a wasteful number, since it uses less digits than its factorization.

6546820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 6546820 is about 2558.6754385815. The cubic root of 6546820 is about 187.0725789931.

The spelling of 6546820 in words is "six million, five hundred forty-six thousand, eight hundred twenty".