4167216 has 60 divisors (see below), whose sum is σ = 11951368. Its totient is φ = 1354752.

The previous prime is 4167197. The next prime is 4167223. The reversal of 4167216 is 6127614.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4167216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5856 + ... + 6528.

Almost surely, 2^4167216 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 4167216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975684).

4167216 is an abundant number, since it is smaller than the sum of its proper divisors (7784152).

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

4167216 is a wasteful number, since it uses less digits than its factorization.

4167216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 721 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 4167216 is about 2041.3760065211. The cubic root of 4167216 is about 160.9219687969.

The spelling of 4167216 in words is "four million, one hundred sixty-seven thousand, two hundred sixteen".