84505008 has 240 divisors, whose sum is σ = 280458240. Its totient is φ = 21772800.

The previous prime is 84505007. The next prime is 84505021. The reversal of 84505008 is 80050548.

It is not an unprimeable number, because it can be changed into a prime (84505007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385298 + ... + 1385358.

It is an arithmetic number, because the mean of its divisors is an integer number (1168576).

Almost surely, 2^84505008 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 84505008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140229120).

84505008 is an abundant number, since it is smaller than the sum of its proper divisors (195953232).

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

84505008 is a wasteful number, since it uses less digits than its factorization.

84505008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 84505008 is about 9192.6605506785. The cubic root of 84505008 is about 438.8278166536.

The spelling of 84505008 in words is "eighty-four million, five hundred five thousand, eight".