6398800 has 60 divisors (see below), whose sum is σ = 16294716. Its totient is φ = 2406400.

The previous prime is 6398797. The next prime is 6398809. The reversal of 6398800 is 88936.

It can be written as a sum of positive squares in 6 ways, for example, as 28224 + 6370576 = 168^2 + 2524^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6398809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6330 + ... + 7270.

Almost surely, 2^6398800 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 6398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147358).

6398800 is an abundant number, since it is smaller than the sum of its proper divisors (9895916).

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

6398800 is a wasteful number, since it uses less digits than its factorization.

6398800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 6398800 is about 2529.5849461918. The cubic root of 6398800 is about 185.6519486471.

It can be divided in two parts, 6398 and 800, that multiplied together give a triangular number (5118400 = T₃₁₉₉).

The spelling of 6398800 in words is "six million, three hundred ninety-eight thousand, eight hundred".