6484608 has 96 divisors (see below), whose sum is σ = 20141940. Its totient is φ = 1990656.

The previous prime is 6484579. The next prime is 6484609. The reversal of 6484608 is 8064846.

6484608 is a `hidden beast` number, since 6 + 48 + 4 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 1065024 = 2328^2 + 1032^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6484609) 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, 14760 + ... + 15192.

Almost surely, 2^6484608 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 6484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10070970).

6484608 is an abundant number, since it is smaller than the sum of its proper divisors (13657332).

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

6484608 is a wasteful number, since it uses less digits than its factorization.

6484608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6484608 is about 2546.4893481026. The cubic root of 6484608 is about 186.4781316375.

It can be divided in two parts, 648 and 4608, that multiplied together give a 6-th power (2985984 = 12⁶).

The spelling of 6484608 in words is "six million, four hundred eighty-four thousand, six hundred eight".