84203820 has 192 divisors, whose sum is σ = 286272000. Its totient is φ = 20466432.

The previous prime is 84203813. The next prime is 84203863. The reversal of 84203820 is 2830248.

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

It is an unprimeable number.

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, 297399 + ... + 297681.

It is an arithmetic number, because the mean of its divisors is an integer number (1491000).

Almost surely, 2^84203820 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 84203820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143136000).

84203820 is an abundant number, since it is smaller than the sum of its proper divisors (202068180).

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

84203820 is a wasteful number, since it uses less digits than its factorization.

84203820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84203820 is about 9176.2639456371. The cubic root of 84203820 is about 438.3058475571.

The spelling of 84203820 in words is "eighty-four million, two hundred three thousand, eight hundred twenty".