84181020 has 288 divisors, whose sum is σ = 317157120. Its totient is φ = 16450560.

The previous prime is 84180979. The next prime is 84181021. The reversal of 84181020 is 2018148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84181021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 614392 + ... + 614528.

It is an arithmetic number, because the mean of its divisors is an integer number (1101240).

Almost surely, 2^84181020 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 84181020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

84181020 is an abundant number, since it is smaller than the sum of its proper divisors (232976100).

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

84181020 is a wasteful number, since it uses less digits than its factorization.

84181020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 84181020 is about 9175.0215258603. The cubic root of 84181020 is about 438.2662837328.

Adding to 84181020 its reverse (2018148), we get a palindrome (86199168).

The spelling of 84181020 in words is "eighty-four million, one hundred eighty-one thousand, twenty".