84982016 has 72 divisors (see below), whose sum is σ = 198186240. Its totient is φ = 35610624.

The previous prime is 84981983. The next prime is 84982039. The reversal of 84982016 is 61028948.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83720 + ... + 84728.

Almost surely, 2^84982016 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 84982016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99093120).

84982016 is an abundant number, since it is smaller than the sum of its proper divisors (113204224).

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

84982016 is a wasteful number, since it uses less digits than its factorization.

84982016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 84982016 is about 9218.5690863604. The cubic root of 84982016 is about 439.6519561719.

The spelling of 84982016 in words is "eighty-four million, nine hundred eighty-two thousand, sixteen".