6398080 has 64 divisors (see below), whose sum is σ = 16493400. Its totient is φ = 2359296.

The previous prime is 6398057. The next prime is 6398081. The reversal of 6398080 is 808936.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 2742336 = 1912^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6398081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7936 + ... + 8704.

Almost surely, 2^6398080 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 6398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246700).

6398080 is an abundant number, since it is smaller than the sum of its proper divisors (10095320).

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

6398080 is a wasteful number, since it uses less digits than its factorization.

6398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

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

The square root of 6398080 is about 2529.4426263507. The cubic root of 6398080 is about 185.6449851322.

It can be divided in two parts, 63980 and 80, that multiplied together give a triangular number (5118400 = T₃₁₉₉).

The spelling of 6398080 in words is "six million, three hundred ninety-eight thousand, eighty".