84088224 has 216 divisors, whose sum is σ = 278853120. Its totient is φ = 23950080.

The previous prime is 84088223. The next prime is 84088229. The reversal of 84088224 is 42288048.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84088223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662049 + ... + 662175.

Almost surely, 2^84088224 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 84088224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

84088224 is an abundant number, since it is smaller than the sum of its proper divisors (194764896).

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

84088224 is a wasteful number, since it uses less digits than its factorization.

84088224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 84088224 is about 9169.9631406020. The cubic root of 84088224 is about 438.1051852214.

The spelling of 84088224 in words is "eighty-four million, eighty-eight thousand, two hundred twenty-four".