6490800 has 120 divisors (see below), whose sum is σ = 23140880. Its totient is φ = 1728000.

The previous prime is 6490793. The next prime is 6490801. The reversal of 6490800 is 80946.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (6490801) 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, 10500 + ... + 11100.

Almost surely, 2^6490800 is an apocalyptic number.

6490800 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 6490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570440).

6490800 is an abundant number, since it is smaller than the sum of its proper divisors (16650080).

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

6490800 is a wasteful number, since it uses less digits than its factorization.

6490800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6490800 is about 2547.7048494675. The cubic root of 6490800 is about 186.5374672860.

The spelling of 6490800 in words is "six million, four hundred ninety thousand, eight hundred".