84268448 has 48 divisors (see below), whose sum is σ = 185431680. Its totient is φ = 37363200.

The previous prime is 84268421. The next prime is 84268451. The reversal of 84268448 is 84486248.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 84268399 and 84268408.

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 7 ways as a sum of consecutive naturals, for example, 11513 + ... + 17351.

It is an arithmetic number, because the mean of its divisors is an integer number (3863160).

Almost surely, 2^84268448 is an apocalyptic number.

84268448 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 84268448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92715840).

84268448 is an abundant number, since it is smaller than the sum of its proper divisors (101163232).

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

84268448 is a wasteful number, since it uses less digits than its factorization.

84268448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5901 (or 5893 counting only the distinct ones).

The product of its digits is 393216, while the sum is 44.

The square root of 84268448 is about 9179.7847469317. The cubic root of 84268448 is about 438.4179548474.

The spelling of 84268448 in words is "eighty-four million, two hundred sixty-eight thousand, four hundred forty-eight".