84128000 has 144 divisors (see below), whose sum is σ = 229582080. Its totient is φ = 30464000.

The previous prime is 84127999. The next prime is 84128059. The reversal of 84128000 is 82148.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351881 + ... + 352119.

It is an arithmetic number, because the mean of its divisors is an integer number (1594320).

Almost surely, 2^84128000 is an apocalyptic number.

84128000 is a gapful number since it is divisible by the number (80) 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 84128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114791040).

84128000 is an abundant number, since it is smaller than the sum of its proper divisors (145454080).

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

84128000 is a wasteful number, since it uses less digits than its factorization.

84128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 84128000 is about 9172.1317042441. The cubic root of 84128000 is about 438.1742528588.

The spelling of 84128000 in words is "eighty-four million, one hundred twenty-eight thousand".