8201200 has 120 divisors (see below), whose sum is σ = 23525280. Its totient is φ = 2688000.

The previous prime is 8201197. The next prime is 8201213. The reversal of 8201200 is 21028.

8201200 = 263² + 264² + ... + 349².

8201200 is nontrivially palindromic in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81150 + ... + 81250.

It is an arithmetic number, because the mean of its divisors is an integer number (196044).

Almost surely, 2^8201200 is an apocalyptic number.

8201200 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 8201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762640).

8201200 is an abundant number, since it is smaller than the sum of its proper divisors (15324080).

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

8201200 is a wasteful number, since it uses less digits than its factorization.

8201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8201200 is about 2863.7737340789. The cubic root of 8201200 is about 201.6628037721.

Adding to 8201200 its reverse (21028), we get a palindrome (8222228).

The spelling of 8201200 in words is "eight million, two hundred one thousand, two hundred".