6000216 has 64 divisors (see below), whose sum is σ = 16005600. Its totient is φ = 1870848.

The previous prime is 6000199. The next prime is 6000221. The reversal of 6000216 is 6120006.

It is a junction number, because it is equal to n+sod(n) for n = 6000195 and 6000204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25636 + ... + 25868.

Almost surely, 2^6000216 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 6000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002800).

6000216 is an abundant number, since it is smaller than the sum of its proper divisors (10005384).

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

6000216 is a wasteful number, since it uses less digits than its factorization.

6000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 6000216 is about 2449.5338332017. The cubic root of 6000216 is about 181.7142398018.

It can be divided in two parts, 6000 and 216, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 6000216 in words is "six million, two hundred sixteen", and thus it is an aban number.