6481800 has 144 divisors (see below), whose sum is σ = 23527140. Its totient is φ = 1589760.

The previous prime is 6481789. The next prime is 6481807. The reversal of 6481800 is 81846.

6481800 is a `hidden beast` number, since 648 + 18 + 0 + 0 = 666.

6481800 is a nontrivial binomial coefficient, being equal to C(3601, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 459684 + 6022116 = 678^2 + 2454^2 .

It is not an unprimeable number, because it can be changed into a prime (6481807) by changing a digit.

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, 23262 + ... + 23538.

Almost surely, 2^6481800 is an apocalyptic number.

6481800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6481800 is the 3600-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6481800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11763570).

6481800 is an abundant number, since it is smaller than the sum of its proper divisors (17045340).

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

6481800 is a wasteful number, since it uses less digits than its factorization.

6481800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6481800 is about 2545.9379411133. The cubic root of 6481800 is about 186.4512111619.

It can be divided in two parts, 648 and 1800, that multiplied together give a square (1166400 = 1080²).

The spelling of 6481800 in words is "six million, four hundred eighty-one thousand, eight hundred".