8191200 has 72 divisors (see below), whose sum is σ = 26670168. Its totient is φ = 2183680.

The previous prime is 8191193. The next prime is 8191217. The reversal of 8191200 is 21918.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694 + ... + 4106.

It is an arithmetic number, because the mean of its divisors is an integer number (370419).

Almost surely, 2^8191200 is an apocalyptic number.

8191200 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 8191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335084).

8191200 is an abundant number, since it is smaller than the sum of its proper divisors (18478968).

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

8191200 is a wasteful number, since it uses less digits than its factorization.

8191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 8191200 is about 2862.0272535390. The cubic root of 8191200 is about 201.5808056808.

The spelling of 8191200 in words is "eight million, one hundred ninety-one thousand, two hundred".