84048 has 40 divisors (see below), whose sum is σ = 232128. Its totient is φ = 26112.
The previous prime is 84047. The next prime is 84053.
84048 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84048.
It is not an unprimeable number, because it can be changed into a prime (84047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 765 + ... + 867.
284048 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 84048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064).
84048 is an abundant number, since it is smaller than the sum of its proper divisors (148080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
84048 is a wasteful number, since it uses less digits than its factorization.
84048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131 (or 125 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
The square root of 84048 is about 289.9103309646. The cubic root of 84048 is about 43.8035317517.
It can be divided in two parts, 840 and 48, that added together give a palindrome (888).
The spelling of 84048 in words is "eighty-four thousand, forty-eight".
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