8093200 has 30 divisors (see below), whose sum is σ = 19444874. Its totient is φ = 3237120.

The previous prime is 8093191. The next prime is 8093209. The reversal of 8093200 is 23908.

It is an interprime number because it is at equal distance from previous prime (8093191) and next prime (8093209).

It can be written as a sum of positive squares in 3 ways, for example, as 541696 + 7551504 = 736^2 + 2748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8093209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 9717 + ... + 10516.

Almost surely, 2^8093200 is an apocalyptic number.

8093200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8093200 is an abundant number, since it is smaller than the sum of its proper divisors (11351674).

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

8093200 is a wasteful number, since it uses less digits than its factorization.

8093200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20251 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 8093200 is about 2844.8550050925. The cubic root of 8093200 is about 200.7736699814.

The spelling of 8093200 in words is "eight million, ninety-three thousand, two hundred".