4653216 has 72 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 1526400.

The previous prime is 4653211. The next prime is 4653221. The reversal of 4653216 is 6123564.

4653216 is a `hidden beast` number, since 4 + 653 + 2 + 1 + 6 = 666.

4653216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4653211) and next prime (4653221).

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4653216.

It is not an unprimeable number, because it can be changed into a prime (4653211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30741 + ... + 30891.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 2^4653216 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 4653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352).

4653216 is an abundant number, since it is smaller than the sum of its proper divisors (8791488).

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

4653216 is a wasteful number, since it uses less digits than its factorization.

4653216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 4653216 is about 2157.1314285412. The cubic root of 4653216 is about 166.9492238092.

The spelling of 4653216 in words is "four million, six hundred fifty-three thousand, two hundred sixteen".