83983200 has 144 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 19192320.

The previous prime is 83983187. The next prime is 83983223. The reversal of 83983200 is 238938.

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 23 ways as a sum of consecutive naturals, for example, 14301 + ... + 19299.

It is an arithmetic number, because the mean of its divisors is an integer number (2170000).

Almost surely, 2^83983200 is an apocalyptic number.

83983200 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 83983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

83983200 is an abundant number, since it is smaller than the sum of its proper divisors (228496800).

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

83983200 is a wasteful number, since it uses less digits than its factorization.

83983200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 83983200 is about 9164.2348289423. The cubic root of 83983200 is about 437.9227152479.

The spelling of 83983200 in words is "eighty-three million, nine hundred eighty-three thousand, two hundred".