6487200 has 216 divisors, whose sum is σ = 24678108. Its totient is φ = 1597440.

The previous prime is 6487181. The next prime is 6487223. The reversal of 6487200 is 27846.

It can be written as a sum of positive squares in 6 ways, for example, as 4016016 + 2471184 = 2004^2 + 1572^2 .

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122374 + ... + 122426.

Almost surely, 2^6487200 is an apocalyptic number.

6487200 is a gapful number since it is divisible by the number (60) 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 6487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339054).

6487200 is an abundant number, since it is smaller than the sum of its proper divisors (18190908).

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

6487200 is a wasteful number, since it uses less digits than its factorization.

6487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6487200 is about 2546.9982332149. The cubic root of 6487200 is about 186.5029744103.

It can be divided in two parts, 648 and 7200, that multiplied together give a square (4665600 = 2160²).

The spelling of 6487200 in words is "six million, four hundred eighty-seven thousand, two hundred".