84006800 has 60 divisors (see below), whose sum is σ = 203885760. Its totient is φ = 33260160.

The previous prime is 84006781. The next prime is 84006803. The reversal of 84006800 is 860048.

It is a self number, because there is not a number n which added to its sum of digits gives 84006800.

It is not an unprimeable number, because it can be changed into a prime (84006803) 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 11 ways as a sum of consecutive naturals, for example, 40181 + ... + 42219.

It is an arithmetic number, because the mean of its divisors is an integer number (3398096).

Almost surely, 2^84006800 is an apocalyptic number.

84006800 is a gapful number since it is divisible by the number (80) 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 84006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101942880).

84006800 is an abundant number, since it is smaller than the sum of its proper divisors (119878960).

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

84006800 is a wasteful number, since it uses less digits than its factorization.

84006800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 84006800 is about 9165.5223528177. The cubic root of 84006800 is about 437.9637314200.

Adding to 84006800 its reverse (860048), we get a palindrome (84866848).

The spelling of 84006800 in words is "eighty-four million, six thousand, eight hundred".