6008480 has 72 divisors (see below), whose sum is σ = 15356628. Its totient is φ = 2213888.

The previous prime is 6008477. The next prime is 6008489. The reversal of 6008480 is 848006.

6008480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5973136 + 35344 = 2444^2 + 188^2 .

It is a super-2 number, since 2×6008480² = 72203663820800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6008489) 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, 127817 + ... + 127863.

Almost surely, 2^6008480 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 6008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678314).

6008480 is an abundant number, since it is smaller than the sum of its proper divisors (9348148).

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

6008480 is a wasteful number, since it uses less digits than its factorization.

6008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 6008480 is about 2451.2201043562. The cubic root of 6008480 is about 181.7976255548.

The spelling of 6008480 in words is "six million, eight thousand, four hundred eighty".