84210084 has 192 divisors, whose sum is σ = 270950400. Its totient is φ = 22087296.

The previous prime is 84210083. The next prime is 84210121. The reversal of 84210084 is 48001248.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84210083) 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 63 ways as a sum of consecutive naturals, for example, 504169 + ... + 504335.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^84210084 is an apocalyptic number.

84210084 is a gapful number since it is divisible by the number (84) 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 84210084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

84210084 is an abundant number, since it is smaller than the sum of its proper divisors (186740316).

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

84210084 is a wasteful number, since it uses less digits than its factorization.

84210084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84210084 is about 9176.6052546680. The cubic root of 84210084 is about 438.3167159467.

The spelling of 84210084 in words is "eighty-four million, two hundred ten thousand, eighty-four".