84992016 has 80 divisors (see below), whose sum is σ = 236859840. Its totient is φ = 26173440.

The previous prime is 84991961. The next prime is 84992023. The reversal of 84992016 is 61029948.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36256 + ... + 38528.

It is an arithmetic number, because the mean of its divisors is an integer number (2960748).

Almost surely, 2^84992016 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 84992016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118429920).

84992016 is an abundant number, since it is smaller than the sum of its proper divisors (151867824).

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

84992016 is a wasteful number, since it uses less digits than its factorization.

84992016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 84992016 is about 9219.1114539309. Note that the first 3 decimals coincide. The cubic root of 84992016 is about 439.6692003973.

The spelling of 84992016 in words is "eighty-four million, nine hundred ninety-two thousand, sixteen".