83983800 has 192 divisors, whose sum is σ = 281232000. Its totient is φ = 20666880.

The previous prime is 83983793. The next prime is 83983817. The reversal of 83983800 is 838938.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604131 + ... + 604269.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^83983800 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 83983800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

83983800 is an abundant number, since it is smaller than the sum of its proper divisors (197248200).

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

83983800 is a wasteful number, since it uses less digits than its factorization.

83983800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 83983800 is about 9164.2675648412. The cubic root of 83983800 is about 437.9237581271.

The spelling of 83983800 in words is "eighty-three million, nine hundred eighty-three thousand, eight hundred".