83833200 has 360 divisors, whose sum is σ = 332813520. Its totient is φ = 19353600.

The previous prime is 83833193. The next prime is 83833201. The reversal of 83833200 is 233838.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83833201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1148364 + ... + 1148436.

It is an arithmetic number, because the mean of its divisors is an integer number (924482).

Almost surely, 2^83833200 is an apocalyptic number.

83833200 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 83833200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166406760).

83833200 is an abundant number, since it is smaller than the sum of its proper divisors (248980320).

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

83833200 is a wasteful number, since it uses less digits than its factorization.

83833200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83833200 is about 9156.0471820541. The cubic root of 83833200 is about 437.6618394449.

The spelling of 83833200 in words is "eighty-three million, eight hundred thirty-three thousand, two hundred".