6820416 has 56 divisors (see below), whose sum is σ = 20055840. Its totient is φ = 2272896.

The previous prime is 6820393. The next prime is 6820421. The reversal of 6820416 is 6140286.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6820416.

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, 246 + ... + 3701.

It is an arithmetic number, because the mean of its divisors is an integer number (358140).

Almost surely, 2^6820416 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 6820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10027920).

6820416 is an abundant number, since it is smaller than the sum of its proper divisors (13235424).

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

6820416 is a wasteful number, since it uses less digits than its factorization.

6820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6820416 is about 2611.5926175420. The cubic root of 6820416 is about 189.6430602406.

The spelling of 6820416 in words is "six million, eight hundred twenty thousand, four hundred sixteen".