6498000 has 180 divisors, whose sum is σ = 23952708. Its totient is φ = 1641600.

The previous prime is 6497989. The next prime is 6498007. The reversal of 6498000 is 8946.

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 207936 + 6290064 = 456^2 + 2508^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6498007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341991 + ... + 342009.

Almost surely, 2^6498000 is an apocalyptic number.

6498000 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 6498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11976354).

6498000 is an abundant number, since it is smaller than the sum of its proper divisors (17454708).

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

6498000 is a wasteful number, since it uses less digits than its factorization.

6498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

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

The square root of 6498000 is about 2549.1174943498. The cubic root of 6498000 is about 186.6064147945.

It can be divided in two parts, 649 and 8000, that added together give a square (8649 = 93²).

The spelling of 6498000 in words is "six million, four hundred ninety-eight thousand".