4561216 has 84 divisors (see below), whose sum is σ = 10810240. Its totient is φ = 1900800.

The previous prime is 4561213. The next prime is 4561217. The reversal of 4561216 is 6121654.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4561211) 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, 147121 + ... + 147151.

Almost surely, 2^4561216 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 4561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405120).

4561216 is an abundant number, since it is smaller than the sum of its proper divisors (6249024).

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

4561216 is a wasteful number, since it uses less digits than its factorization.

4561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 4561216 is about 2135.7003535140. The cubic root of 4561216 is about 165.8416256947.

The spelling of 4561216 in words is "four million, five hundred sixty-one thousand, two hundred sixteen".