84511128 has 64 divisors (see below), whose sum is σ = 231436800. Its totient is φ = 25557120.

The previous prime is 84511111. The next prime is 84511129. The reversal of 84511128 is 82111548.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 84511095 and 84511104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84511129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16113 + ... + 20703.

It is an arithmetic number, because the mean of its divisors is an integer number (3616200).

Almost surely, 2^84511128 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 84511128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115718400).

84511128 is an abundant number, since it is smaller than the sum of its proper divisors (146925672).

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

84511128 is a wasteful number, since it uses less digits than its factorization.

84511128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4668 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 84511128 is about 9192.9934189033. The cubic root of 84511128 is about 438.8384099563.

The spelling of 84511128 in words is "eighty-four million, five hundred eleven thousand, one hundred twenty-eight".