84422448 has 120 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 25361280.

The previous prime is 84422441. The next prime is 84422449.

84422448 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (84422441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353113 + ... + 353351.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^84422448 is an apocalyptic number.

84422448 is a gapful number since it is divisible by the number (88) 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 84422448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

84422448 is an abundant number, since it is smaller than the sum of its proper divisors (175560912).

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

84422448 is a wasteful number, since it uses less digits than its factorization.

84422448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 84422448 is about 9188.1689144247. The cubic root of 84422448 is about 438.6848609069.

The spelling of 84422448 in words is "eighty-four million, four hundred twenty-two thousand, four hundred forty-eight".