6487800 has 96 divisors (see below), whose sum is σ = 21962880. Its totient is φ = 1571200.

The previous prime is 6487763. The next prime is 6487807. The reversal of 6487800 is 87846.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6487807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6109 + ... + 7091.

It is an arithmetic number, because the mean of its divisors is an integer number (228780).

Almost surely, 2^6487800 is an apocalyptic number.

6487800 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 6487800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981440).

6487800 is an abundant number, since it is smaller than the sum of its proper divisors (15475080).

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

6487800 is a wasteful number, since it uses less digits than its factorization.

6487800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6487800 is about 2547.1160162034. The cubic root of 6487800 is about 186.5087241090.

It can be divided in two parts, 648 and 7800, that added together give a palindrome (8448).

The spelling of 6487800 in words is "six million, four hundred eighty-seven thousand, eight hundred".