84645216 has 72 divisors (see below), whose sum is σ = 247673160. Its totient is φ = 28124928.

The previous prime is 84645203. The next prime is 84645217. The reversal of 84645216 is 61254648.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

84645216 is a `hidden beast` number, since 8 + 4 + 645 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (84645217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270276 + ... + 270588.

It is an arithmetic number, because the mean of its divisors is an integer number (3439905).

Almost surely, 2^84645216 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 84645216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123836580).

84645216 is an abundant number, since it is smaller than the sum of its proper divisors (163027944).

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

84645216 is an equidigital number, since it uses as much as digits as its factorization.

84645216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 318 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 84645216 is about 9200.2834738936. The cubic root of 84645216 is about 439.0703789006.

The spelling of 84645216 in words is "eighty-four million, six hundred forty-five thousand, two hundred sixteen".