84398912 has 84 divisors (see below), whose sum is σ = 191031876. Its totient is φ = 36771840.

The previous prime is 84398879. The next prime is 84398917. The reversal of 84398912 is 21989348.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33362176 + 51036736 = 5776^2 + 7144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84398917) 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 11 ways as a sum of consecutive naturals, for example, 300212 + ... + 300492.

It is an arithmetic number, because the mean of its divisors is an integer number (2274189).

Almost surely, 2^84398912 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 84398912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95515938).

84398912 is an abundant number, since it is smaller than the sum of its proper divisors (106632964).

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

84398912 is a wasteful number, since it uses less digits than its factorization.

84398912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 315 counting only the distinct ones).

The product of its digits is 124416, while the sum is 44.

The square root of 84398912 is about 9186.8880476470. Note that the first 3 decimals coincide. The cubic root of 84398912 is about 438.6440903664.

The spelling of 84398912 in words is "eighty-four million, three hundred ninety-eight thousand, nine hundred twelve".