4082816 has 32 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 2018560.

The previous prime is 4082809. The next prime is 4082831. The reversal of 4082816 is 6182804.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21281 + ... + 21471.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^4082816 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 4082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

4082816 is an abundant number, since it is smaller than the sum of its proper divisors (4142464).

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

4082816 is a wasteful number, since it uses less digits than its factorization.

With its successor (4082817) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (360).

4082816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 4082816 is about 2020.5979313065. The cubic root of 4082816 is about 159.8281488192.

The spelling of 4082816 in words is "four million, eighty-two thousand, eight hundred sixteen".