6398900 has 36 divisors (see below), whose sum is σ = 14126700. Its totient is φ = 2515200.

The previous prime is 6398897. The next prime is 6398923. The reversal of 6398900 is 98936.

It can be written as a sum of positive squares in 6 ways, for example, as 268324 + 6130576 = 518^2 + 2476^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5576 + ... + 6624.

Almost surely, 2^6398900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6398900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063350).

6398900 is an abundant number, since it is smaller than the sum of its proper divisors (7727800).

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

6398900 is a wasteful number, since it uses less digits than its factorization.

6398900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 6398900 is about 2529.6047122031. The cubic root of 6398900 is about 185.6529157606.

The spelling of 6398900 in words is "six million, three hundred ninety-eight thousand, nine hundred".