84573216 has 216 divisors, whose sum is σ = 301945644. Its totient is φ = 22256640.

The previous prime is 84573211. The next prime is 84573221. The reversal of 84573216 is 61237548.

84573216 is a `hidden beast` number, since 84 + 573 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (84573211) and next prime (84573221).

It can be written as a sum of positive squares in 2 ways, for example, as 77792400 + 6780816 = 8820^2 + 2604^2 .

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

Its product of digits (40320) is a multiple of the sum of its prime factors (504).

It is not an unprimeable number, because it can be changed into a prime (84573211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183226 + ... + 183686.

Almost surely, 2^84573216 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 84573216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150972822).

84573216 is an abundant number, since it is smaller than the sum of its proper divisors (217372428).

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

84573216 is a wasteful number, since it uses less digits than its factorization.

84573216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 486 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 84573216 is about 9196.3697185357. The cubic root of 84573216 is about 438.9458511503.

The spelling of 84573216 in words is "eighty-four million, five hundred seventy-three thousand, two hundred sixteen".