84080016 has 120 divisors (see below), whose sum is σ = 251472000. Its totient is φ = 26148096.

The previous prime is 84079999. The next prime is 84080041. The reversal of 84080016 is 61008048.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 215950 + ... + 216338.

It is an arithmetic number, because the mean of its divisors is an integer number (2095600).

Almost surely, 2^84080016 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 84080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125736000).

84080016 is an abundant number, since it is smaller than the sum of its proper divisors (167391984).

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

84080016 is a wasteful number, since it uses less digits than its factorization.

84080016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 84080016 is about 9169.5155815343. The cubic root of 84080016 is about 438.0909300173.

The spelling of 84080016 in words is "eighty-four million, eighty thousand, sixteen".