4206816 has 72 divisors (see below), whose sum is σ = 12429144. Its totient is φ = 1399680.

The previous prime is 4206791. The next prime is 4206817. The reversal of 4206816 is 6186024.

4206816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 4206816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7506 + ... + 8046.

It is an arithmetic number, because the mean of its divisors is an integer number (172627).

Almost surely, 2^4206816 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 4206816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214572).

4206816 is an abundant number, since it is smaller than the sum of its proper divisors (8222328).

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

4206816 is an equidigital number, since it uses as much as digits as its factorization.

4206816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 546 counting only the distinct ones).

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

The square root of 4206816 is about 2051.0524127872. The cubic root of 4206816 is about 161.4300962381.

The spelling of 4206816 in words is "four million, two hundred six thousand, eight hundred sixteen".