83985200 has 120 divisors (see below), whose sum is σ = 224735616. Its totient is φ = 29952000.

The previous prime is 83985199. The next prime is 83985203. The reversal of 83985200 is 258938.

It is not an unprimeable number, because it can be changed into a prime (83985203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160940 + ... + 161460.

Almost surely, 2^83985200 is an apocalyptic number.

83985200 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 83985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112367808).

83985200 is an abundant number, since it is smaller than the sum of its proper divisors (140750416).

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

83985200 is a wasteful number, since it uses less digits than its factorization.

83985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 83985200 is about 9164.3439481504. The cubic root of 83985200 is about 437.9261914926.

The spelling of 83985200 in words is "eighty-three million, nine hundred eighty-five thousand, two hundred".