6382080 has 120 divisors (see below), whose sum is σ = 22182732. Its totient is φ = 1695744.

The previous prime is 6382073. The next prime is 6382087. The reversal of 6382080 is 802836.

6382080 is a `hidden beast` number, since 638 + 20 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6382073) and next prime (6382087).

It can be written as a sum of positive squares in 2 ways, for example, as 5992704 + 389376 = 2448^2 + 624^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6382087) 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, 22902 + ... + 23178.

Almost surely, 2^6382080 is an apocalyptic number.

6382080 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 6382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091366).

6382080 is an abundant number, since it is smaller than the sum of its proper divisors (15800652).

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

6382080 is a wasteful number, since it uses less digits than its factorization.

6382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6382080 is about 2526.2778944526. The cubic root of 6382080 is about 185.4901053757.

The spelling of 6382080 in words is "six million, three hundred eighty-two thousand, eighty".