84883200 has 108 divisors (see below), whose sum is σ = 280195608. Its totient is φ = 22630400.

The previous prime is 84883199. The next prime is 84883229. The reversal of 84883200 is 238848.

It is a super-3 number, since 3×84883200³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 16990 + ... + 21410.

Almost surely, 2^84883200 is an apocalyptic number.

84883200 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 84883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140097804).

84883200 is an abundant number, since it is smaller than the sum of its proper divisors (195312408).

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

84883200 is a wasteful number, since it uses less digits than its factorization.

84883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 84883200 is about 9213.2079103860. The cubic root of 84883200 is about 439.4814828584.

It can be divided in two parts, 848 and 83200, that added together give a palindrome (84048).

The spelling of 84883200 in words is "eighty-four million, eight hundred eighty-three thousand, two hundred".