6486216 has 64 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 1934400.

The previous prime is 6486209. The next prime is 6486217. The reversal of 6486216 is 6126846.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6486217) 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, 20701 + ... + 21011.

It is an arithmetic number, because the mean of its divisors is an integer number (280800).

Almost surely, 2^6486216 is an apocalyptic number.

6486216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6486216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985600).

6486216 is an abundant number, since it is smaller than the sum of its proper divisors (11484984).

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

6486216 is a wasteful number, since it uses less digits than its factorization.

6486216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 6486216 is about 2546.8050573218. The cubic root of 6486216 is about 186.4935441370.

The spelling of 6486216 in words is "six million, four hundred eighty-six thousand, two hundred sixteen".