66210216 has 64 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 21298368.

The previous prime is 66210191. The next prime is 66210251. The reversal of 66210216 is 61201266.

66210216 is digitally balanced in base 2, 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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88741 + ... + 89483.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2^66210216 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 66210216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

66210216 is an abundant number, since it is smaller than the sum of its proper divisors (105207384).

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

66210216 is a wasteful number, since it uses less digits than its factorization.

66210216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 66210216 is about 8136.9660193465. The cubic root of 66210216 is about 404.5526045662.

It can be divided in two parts, 662 and 10216, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 66210216 in words is "sixty-six million, two hundred ten thousand, two hundred sixteen".