84382160 has 40 divisors (see below), whose sum is σ = 198889800. Its totient is φ = 33288192.

The previous prime is 84382159. The next prime is 84382171. The reversal of 84382160 is 6128348.

It can be written as a sum of positive squares in 4 ways, for example, as 34199104 + 50183056 = 5848^2 + 7084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1385 + ... + 13064.

It is an arithmetic number, because the mean of its divisors is an integer number (4972245).

Almost surely, 2^84382160 is an apocalyptic number.

84382160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84382160 is an abundant number, since it is smaller than the sum of its proper divisors (114507640).

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

84382160 is a wasteful number, since it uses less digits than its factorization.

84382160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535 (or 14529 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 84382160 is about 9185.9762682036. The cubic root of 84382160 is about 438.6150668800.

The spelling of 84382160 in words is "eighty-four million, three hundred eighty-two thousand, one hundred sixty".