84184128 has 84 divisors (see below), whose sum is σ = 275783040. Its totient is φ = 24051456.

The previous prime is 84184123. The next prime is 84184151. The reversal of 84184128 is 82148148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

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 a junction number, because it is equal to n+sod(n) for n = 84184092 and 84184101.

It is not an unprimeable number, because it can be changed into a prime (84184123) 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 11 ways as a sum of consecutive naturals, for example, 6408 + ... + 14471.

Almost surely, 2^84184128 is an apocalyptic number.

It is an amenable number.

84184128 is an abundant number, since it is smaller than the sum of its proper divisors (191598912).

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

84184128 is a wasteful number, since it uses less digits than its factorization.

84184128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20904 (or 20891 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 84184128 is about 9175.1908971966. The cubic root of 84184128 is about 438.2716773272.

The spelling of 84184128 in words is "eighty-four million, one hundred eighty-four thousand, one hundred twenty-eight".