84131344 has 80 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 36608000.

The previous prime is 84131339. The next prime is 84131353. The reversal of 84131344 is 44313148.

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 15 ways as a sum of consecutive naturals, for example, 642159 + ... + 642289.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^84131344 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 84131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

84131344 is an abundant number, since it is smaller than the sum of its proper divisors (101481776).

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

84131344 is a wasteful number, since it uses less digits than its factorization.

84131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 84131344 is about 9172.3139937532. The cubic root of 84131344 is about 438.1800584380.

The spelling of 84131344 in words is "eighty-four million, one hundred thirty-one thousand, three hundred forty-four".