84820000 has 60 divisors (see below), whose sum is σ = 208719126. Its totient is φ = 33920000.

The previous prime is 84819989. The next prime is 84820003. The reversal of 84820000 is 2848.

It can be written as a sum of positive squares in 5 ways, for example, as 15397776 + 69422224 = 3924^2 + 8332^2 .

It is not an unprimeable number, because it can be changed into a prime (84820003) 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 9 ways as a sum of consecutive naturals, for example, 17880 + ... + 22120.

Almost surely, 2^84820000 is an apocalyptic number.

84820000 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 84820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104359563).

84820000 is an abundant number, since it is smaller than the sum of its proper divisors (123899126).

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

84820000 is an equidigital number, since it uses as much as digits as its factorization.

84820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 84820000 is about 9209.7774131626. Note that the first 3 decimals coincide. The cubic root of 84820000 is about 439.3723834295.

Adding to 84820000 its reverse (2848), we get a palindrome (84822848).

The spelling of 84820000 in words is "eighty-four million, eight hundred twenty thousand".