6468660 has 144 divisors (see below), whose sum is σ = 22381632. Its totient is φ = 1568160.

The previous prime is 6468647. The next prime is 6468661. The reversal of 6468660 is 668646.

6468660 is a `hidden beast` number, since 646 + 8 + 6 + 6 + 0 = 666.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588055 + ... + 588065.

It is an arithmetic number, because the mean of its divisors is an integer number (155428).

Almost surely, 2^6468660 is an apocalyptic number.

6468660 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 6468660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190816).

6468660 is an abundant number, since it is smaller than the sum of its proper divisors (15912972).

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

6468660 is a wasteful number, since it uses less digits than its factorization.

6468660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6468660 is about 2543.3560505757. The cubic root of 6468660 is about 186.3251337184.

It can be divided in two parts, 64686 and 60, that added together give a palindrome (64746).

The spelling of 6468660 in words is "six million, four hundred sixty-eight thousand, six hundred sixty".