8487200 has 54 divisors (see below), whose sum is σ = 20922489. Its totient is φ = 3361920.

The previous prime is 8487197. The next prime is 8487217. The reversal of 8487200 is 27848.

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 8317456 + 169744 = 2884^2 + 412^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2060.

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82349 + ... + 82451.

Almost surely, 2^8487200 is an apocalyptic number.

8487200 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 8487200

8487200 is an abundant number, since it is smaller than the sum of its proper divisors (12435289).

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

8487200 is a wasteful number, since it uses less digits than its factorization.

8487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 8487200 is about 2913.2799384886. The cubic root of 8487200 is about 203.9802620914.

Multiplying 8487200 by its reverse (27848), we get a square (236351545600 = 486160²).

The spelling of 8487200 in words is "eight million, four hundred eighty-seven thousand, two hundred".