84267216 has 200 divisors, whose sum is σ = 278714304. Its totient is φ = 24330240.

The previous prime is 84267203. The next prime is 84267217. The reversal of 84267216 is 61276248.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84267217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327760 + ... + 328016.

Almost surely, 2^84267216 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 84267216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139357152).

84267216 is an abundant number, since it is smaller than the sum of its proper divisors (194447088).

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

84267216 is a wasteful number, since it uses less digits than its factorization.

84267216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 84267216 is about 9179.7176427165. The cubic root of 84267216 is about 438.4158182884.

The spelling of 84267216 in words is "eighty-four million, two hundred sixty-seven thousand, two hundred sixteen".