6618480 has 160 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 1520640.

The previous prime is 6618463. The next prime is 6618487. The reversal of 6618480 is 848166.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6618487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60666 + ... + 60774.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 2^6618480 is an apocalyptic number.

6618480 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 6618480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

6618480 is an abundant number, since it is smaller than the sum of its proper divisors (16951440).

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

6618480 is a wasteful number, since it uses less digits than its factorization.

6618480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 6618480 is about 2572.6406667080. The cubic root of 6618480 is about 187.7526549518.

The spelling of 6618480 in words is "six million, six hundred eighteen thousand, four hundred eighty".