8091200 has 84 divisors (see below), whose sum is σ = 21496020. Its totient is φ = 2979840.

The previous prime is 8091173. The next prime is 8091221. The reversal of 8091200 is 21908.

It can be written as a sum of positive squares in 6 ways, for example, as 1700416 + 6390784 = 1304^2 + 2528^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 20606 + ... + 20994.

It is an arithmetic number, because the mean of its divisors is an integer number (255905).

Almost surely, 2^8091200 is an apocalyptic number.

8091200 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 8091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748010).

8091200 is an abundant number, since it is smaller than the sum of its proper divisors (13404820).

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

8091200 is a wasteful number, since it uses less digits than its factorization.

8091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8091200 is about 2844.5034716098. The cubic root of 8091200 is about 200.7571301528.

The spelling of 8091200 in words is "eight million, ninety-one thousand, two hundred".