4218816 has 112 divisors (see below), whose sum is σ = 13232384. Its totient is φ = 1161216.

The previous prime is 4218803. The next prime is 4218829. The reversal of 4218816 is 6188124.

It is an interprime number because it is at equal distance from previous prime (4218803) and next prime (4218829).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3072) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57756 + ... + 57828.

Almost surely, 2^4218816 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 4218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616192).

4218816 is an abundant number, since it is smaller than the sum of its proper divisors (9013568).

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

4218816 is a wasteful number, since it uses less digits than its factorization.

4218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 4218816 is about 2053.9756571099. The cubic root of 4218816 is about 161.5834443713.

The spelling of 4218816 in words is "four million, two hundred eighteen thousand, eight hundred sixteen".