1008200 has 36 divisors (see below), whose sum is σ = 2377545. Its totient is φ = 397600.

The previous prime is 1008199. The next prime is 1008209. The reversal of 1008200 is 28001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 988036 + 20164 = 994^2 + 142^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=710.

It is not an unprimeable number, because it can be changed into a prime (1008209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14165 + ... + 14235.

2^1008200 is an apocalyptic number.

1008200 is a gapful number since it is divisible by the number (10) 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 1008200

1008200 is an abundant number, since it is smaller than the sum of its proper divisors (1369345).

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

1008200 is an equidigital number, since it uses as much as digits as its factorization.

1008200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1008200 is about 1004.0916292849. The cubic root of 1008200 is about 100.2725896072.

The spelling of 1008200 in words is "one million, eight thousand, two hundred".