84448320 has 168 divisors, whose sum is σ = 295119552. Its totient is φ = 20444160.

The previous prime is 84448291. The next prime is 84448321. The reversal of 84448320 is 2384448.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (84448321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 115797 + ... + 116523.

It is an arithmetic number, because the mean of its divisors is an integer number (1756664).

Almost surely, 2^84448320 is an apocalyptic number.

84448320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559776).

84448320 is an abundant number, since it is smaller than the sum of its proper divisors (210671232).

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

84448320 is a wasteful number, since it uses less digits than its factorization.

84448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 84448320 is about 9189.5767040708. The cubic root of 84448320 is about 438.7296692716.

The spelling of 84448320 in words is "eighty-four million, four hundred forty-eight thousand, three hundred twenty".