84000048 has 80 divisors (see below), whose sum is σ = 247055616. Its totient is φ = 24344320.

The previous prime is 84000047. The next prime is 84000053.

84000048 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 junction number, because it is equal to n+sod(n) for n = 83999991 and 84000027.

It is not an unprimeable number, because it can be changed into a prime (84000041) by changing a digit.

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, 8686 + ... + 15602.

Almost surely, 2^84000048 is an apocalyptic number.

84000048 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 84000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123527808).

84000048 is an abundant number, since it is smaller than the sum of its proper divisors (163055568).

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

84000048 is a wasteful number, since it uses less digits than its factorization.

84000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 84000048 is about 9165.1540085260. The cubic root of 84000048 is about 437.9519974082.

It can be divided in two parts, 840000 and 48, that added together give a palindrome (840048).

The spelling of 84000048 in words is "eighty-four million, forty-eight", and thus it is an aban number.