4617216 has 88 divisors (see below), whose sum is σ = 13755840. Its totient is φ = 1529856.

The previous prime is 4617203. The next prime is 4617257. The reversal of 4617216 is 6127164.

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 4617216.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27565 + ... + 27731.

Almost surely, 2^4617216 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 4617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877920).

4617216 is an abundant number, since it is smaller than the sum of its proper divisors (9138624).

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

4617216 is a wasteful number, since it uses less digits than its factorization.

4617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

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

The square root of 4617216 is about 2148.7708114175. The cubic root of 4617216 is about 166.5175697716.

The spelling of 4617216 in words is "four million, six hundred seventeen thousand, two hundred sixteen".