83140200 has 576 divisors, whose sum is σ = 365601600. Its totient is φ = 16588800.

The previous prime is 83140117. The next prime is 83140201. The reversal of 83140200 is 204138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (83140201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4375791 + ... + 4375809.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^83140200 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 83140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

83140200 is an abundant number, since it is smaller than the sum of its proper divisors (282461400).

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

83140200 is a wasteful number, since it uses less digits than its factorization.

83140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 83140200 is about 9118.1248072178. The cubic root of 83140200 is about 436.4525363380.

Adding to 83140200 its reverse (204138), we get a palindrome (83344338).

The spelling of 83140200 in words is "eighty-three million, one hundred forty thousand, two hundred".