6477216 has 48 divisors (see below), whose sum is σ = 17186400. Its totient is φ = 2135808.

The previous prime is 6477203. The next prime is 6477227. The reversal of 6477216 is 6127746.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6477216² = 83908654221312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10155 + ... + 10773.

It is an arithmetic number, because the mean of its divisors is an integer number (358050).

Almost surely, 2^6477216 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 6477216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8593200).

6477216 is an abundant number, since it is smaller than the sum of its proper divisors (10709184).

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

6477216 is a wasteful number, since it uses less digits than its factorization.

6477216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 6477216 is about 2545.0375242813. The cubic root of 6477216 is about 186.4072473497.

The spelling of 6477216 in words is "six million, four hundred seventy-seven thousand, two hundred sixteen".