83038200 has 192 divisors, whose sum is σ = 311765760. Its totient is φ = 17848320.

The previous prime is 83038199. The next prime is 83038247. The reversal of 83038200 is 283038.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70819 + ... + 71981.

It is an arithmetic number, because the mean of its divisors is an integer number (1623780).

Almost surely, 2^83038200 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 83038200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155882880).

83038200 is an abundant number, since it is smaller than the sum of its proper divisors (228727560).

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

83038200 is a wasteful number, since it uses less digits than its factorization.

83038200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 83038200 is about 9112.5298353421. The cubic root of 83038200 is about 436.2739770020.

It can be divided in two parts, 83038 and 200, that added together give a palindrome (83238).

The spelling of 83038200 in words is "eighty-three million, thirty-eight thousand, two hundred".