84409080 has 256 divisors, whose sum is σ = 320993280. Its totient is φ = 17301504.

The previous prime is 84409049. The next prime is 84409093. The reversal of 84409080 is 8090448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328312 + ... + 328568.

It is an arithmetic number, because the mean of its divisors is an integer number (1253880).

Almost surely, 2^84409080 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 84409080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160496640).

84409080 is an abundant number, since it is smaller than the sum of its proper divisors (236584200).

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

84409080 is a wasteful number, since it uses less digits than its factorization.

84409080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 84409080 is about 9187.4414283847. The cubic root of 84409080 is about 438.6617049458.

The spelling of 84409080 in words is "eighty-four million, four hundred nine thousand, eighty".