84085120 has 96 divisors (see below), whose sum is σ = 231421680. Its totient is φ = 28618752.

The previous prime is 84085117. The next prime is 84085139. The reversal of 84085120 is 2158048.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613692 + ... + 613828.

Almost surely, 2^84085120 is an apocalyptic number.

84085120 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 84085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115710840).

84085120 is an abundant number, since it is smaller than the sum of its proper divisors (147336560).

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

84085120 is an equidigital number, since it uses as much as digits as its factorization.

84085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 84085120 is about 9169.7938908135. The cubic root of 84085120 is about 438.0997944736.

The spelling of 84085120 in words is "eighty-four million, eighty-five thousand, one hundred twenty".