6648480 has 192 divisors, whose sum is σ = 24796800. Its totient is φ = 1679616.

The previous prime is 6648457. The next prime is 6648487. The reversal of 6648480 is 848466.

6648480 = 69³ + 70³ + ... + 83³.

6648480 is a `hidden beast` number, since 6 + 648 + 4 + 8 + 0 = 666.

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 (6648487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349911 + ... + 349929.

It is an arithmetic number, because the mean of its divisors is an integer number (129150).

Almost surely, 2^6648480 is an apocalyptic number.

6648480 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 6648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398400).

6648480 is an abundant number, since it is smaller than the sum of its proper divisors (18148320).

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

6648480 is an equidigital number, since it uses as much as digits as its factorization.

6648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

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

The square root of 6648480 is about 2578.4646594437. The cubic root of 6648480 is about 188.0359068280.

It can be divided in two parts, 66484 and 80, that added together give a square (66564 = 258²).

The spelling of 6648480 in words is "six million, six hundred forty-eight thousand, four hundred eighty".