84944896 has 96 divisors (see below), whose sum is σ = 186732000. Its totient is φ = 38486016.

The previous prime is 84944887. The next prime is 84944921. The reversal of 84944896 is 69844948.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1439715 + ... + 1439773.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^84944896 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 84944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93366000).

84944896 is an abundant number, since it is smaller than the sum of its proper divisors (101787104).

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

84944896 is a wasteful number, since it uses less digits than its factorization.

84944896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The square root of 84944896 is about 9216.5555388117. Note that the first 4 decimals coincide. The cubic root of 84944896 is about 439.5879337738.

Adding to 84944896 its sum of digits (52), we get a palindrome (84944948).

The spelling of 84944896 in words is "eighty-four million, nine hundred forty-four thousand, eight hundred ninety-six".