84221984 has 144 divisors (see below), whose sum is σ = 222354720. Its totient is φ = 30965760.

The previous prime is 84221959. The next prime is 84221987. The reversal of 84221984 is 48912248.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (84221987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327584 + ... + 327840.

It is an arithmetic number, because the mean of its divisors is an integer number (1544130).

Almost surely, 2^84221984 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 84221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111177360).

84221984 is an abundant number, since it is smaller than the sum of its proper divisors (138132736).

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

84221984 is a wasteful number, since it uses less digits than its factorization.

84221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 84221984 is about 9177.2536196838. The cubic root of 84221984 is about 438.3373616263.

The spelling of 84221984 in words is "eighty-four million, two hundred twenty-one thousand, nine hundred eighty-four".