84216366 has 96 divisors (see below), whose sum is σ = 206152128. Its totient is φ = 24675840.

The previous prime is 84216361. The next prime is 84216371. The reversal of 84216366 is 66361248.

84216366 is a `hidden beast` number, since 84 + 216 + 366 = 666.

It is an interprime number because it is at equal distance from previous prime (84216361) and next prime (84216371).

It is a self number, because there is not a number n which added to its sum of digits gives 84216366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84216361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 614650 + ... + 614786.

It is an arithmetic number, because the mean of its divisors is an integer number (2147418).

Almost surely, 2^84216366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84216366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103076064).

84216366 is an abundant number, since it is smaller than the sum of its proper divisors (121935762).

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

84216366 is a wasteful number, since it uses less digits than its factorization.

84216366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 263 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 84216366 is about 9176.9475317232. The cubic root of 84216366 is about 438.3276150259.

The spelling of 84216366 in words is "eighty-four million, two hundred sixteen thousand, three hundred sixty-six".