84643216 has 40 divisors (see below), whose sum is σ = 188807360. Its totient is φ = 36008064.

The previous prime is 84643213. The next prime is 84643219. The reversal of 84643216 is 61234648.

It is an interprime number because it is at equal distance from previous prime (84643213) and next prime (84643219).

It is not an unprimeable number, because it can be changed into a prime (84643211) 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 7 ways as a sum of consecutive naturals, for example, 12850 + ... + 18286.

It is an arithmetic number, because the mean of its divisors is an integer number (4720184).

Almost surely, 2^84643216 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 84643216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94403680).

84643216 is an abundant number, since it is smaller than the sum of its proper divisors (104164144).

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

84643216 is a wasteful number, since it uses less digits than its factorization.

84643216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5585 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 84643216 is about 9200.1747809485. The cubic root of 84643216 is about 439.0669207501.

The spelling of 84643216 in words is "eighty-four million, six hundred forty-three thousand, two hundred sixteen".