4002816 has 44 divisors (see below), whose sum is σ = 10677152. Its totient is φ = 1333248.

The previous prime is 4002811. The next prime is 4002821. The reversal of 4002816 is 6182004.

It is an interprime number because it is at equal distance from previous prime (4002811) and next prime (4002821).

It is a junction number, because it is equal to n+sod(n) for n = 4002792 and 4002801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2421 + ... + 3723.

Almost surely, 2^4002816 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 4002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338576).

4002816 is an abundant number, since it is smaller than the sum of its proper divisors (6674336).

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

4002816 is a wasteful number, since it uses less digits than its factorization.

4002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4002816 is about 2000.7038761396. The cubic root of 4002816 is about 158.7773474700. Note that the first 3 decimals are identical.

The spelling of 4002816 in words is "four million, two thousand, eight hundred sixteen".