84212128 has 144 divisors (see below), whose sum is σ = 225227520. Its totient is φ = 30159360.

The previous prime is 84212113. The next prime is 84212137. The reversal of 84212128 is 82121248.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 = 84212096 and 84212105.

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 23 ways as a sum of consecutive naturals, for example, 352233 + ... + 352471.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 2^84212128 is an apocalyptic number.

84212128 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 84212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112613760).

84212128 is an abundant number, since it is smaller than the sum of its proper divisors (141015392).

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

84212128 is a wasteful number, since it uses less digits than its factorization.

84212128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 84212128 is about 9176.7166241527. The cubic root of 84212128 is about 438.3202622841.

It can be divided in two parts, 84 and 212128, that added together give a palindrome (212212).

The spelling of 84212128 in words is "eighty-four million, two hundred twelve thousand, one hundred twenty-eight".