84168500 has 96 divisors (see below), whose sum is σ = 206938368. Its totient is φ = 29673600.

The previous prime is 84168481. The next prime is 84168509. The reversal of 84168500 is 586148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84168509) 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 31 ways as a sum of consecutive naturals, for example, 149219 + ... + 149781.

It is an arithmetic number, because the mean of its divisors is an integer number (2155608).

Almost surely, 2^84168500 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 84168500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103469184).

84168500 is an abundant number, since it is smaller than the sum of its proper divisors (122769868).

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

84168500 is a wasteful number, since it uses less digits than its factorization.

84168500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 84168500 is about 9174.3392132622. The cubic root of 84168500 is about 438.2445552960.

The spelling of 84168500 in words is "eighty-four million, one hundred sixty-eight thousand, five hundred".