5832216 has 128 divisors (see below), whose sum is σ = 18278400. Its totient is φ = 1710720.

The previous prime is 5832187. The next prime is 5832217. The reversal of 5832216 is 6122385.

5832216 = 3³ + 4³ + ... + 69³.

5832216 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5832216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5832217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87015 + ... + 87081.

It is an arithmetic number, because the mean of its divisors is an integer number (142800).

Almost surely, 2^5832216 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 5832216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9139200).

5832216 is an abundant number, since it is smaller than the sum of its proper divisors (12446184).

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

5832216 is a wasteful number, since it uses less digits than its factorization.

5832216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5832216 is about 2414.9981366452. The cubic root of 5832216 is about 180.0022221948.

It can be divided in two parts, 5832 and 216, that multiplied together give a cube (1259712 = 108³).

The spelling of 5832216 in words is "five million, eight hundred thirty-two thousand, two hundred sixteen".