84844128 has 48 divisors (see below), whose sum is σ = 224501760. Its totient is φ = 28054656.

The previous prime is 84844121. The next prime is 84844223. The reversal of 84844128 is 82144848.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84844121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8713 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (4677120).

Almost surely, 2^84844128 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 84844128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112250880).

84844128 is an abundant number, since it is smaller than the sum of its proper divisors (139657632).

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

84844128 is a wasteful number, since it uses less digits than its factorization.

84844128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7099 (or 7091 counting only the distinct ones).

The product of its digits is 65536, while the sum is 39.

The square root of 84844128 is about 9211.0872322435. The cubic root of 84844128 is about 439.4140409466.

The spelling of 84844128 in words is "eighty-four million, eight hundred forty-four thousand, one hundred twenty-eight".