84084006 has 64 divisors (see below), whose sum is σ = 191980800. Its totient is φ = 24385536.

The previous prime is 84084001. The next prime is 84084031. The reversal of 84084006 is 60048048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84084001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82830 + ... + 83838.

It is an arithmetic number, because the mean of its divisors is an integer number (2999700).

Almost surely, 2^84084006 is an apocalyptic number.

84084006 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

84084006 is an abundant number, since it is smaller than the sum of its proper divisors (107896794).

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

84084006 is a wasteful number, since it uses less digits than its factorization.

84084006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093.

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 84084006 is about 9169.7331476985. The cubic root of 84084006 is about 438.0978597463.

The spelling of 84084006 in words is "eighty-four million, eighty-four thousand, six".