7668640 has 96 divisors (see below), whose sum is σ = 21337344. Its totient is φ = 2549760.

The previous prime is 7668631. The next prime is 7668653. The reversal of 7668640 is 468667.

7668640 is nontrivially palindromic in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 7668640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45837 + ... + 46003.

It is an arithmetic number, because the mean of its divisors is an integer number (222264).

Almost surely, 2^7668640 is an apocalyptic number.

7668640 is a gapful number since it is divisible by the number (70) 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 7668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668672).

7668640 is an abundant number, since it is smaller than the sum of its proper divisors (13668704).

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

7668640 is a wasteful number, since it uses less digits than its factorization.

7668640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 7668640 is about 2769.2309401709. The cubic root of 7668640 is about 197.1996395782.

The spelling of 7668640 in words is "seven million, six hundred sixty-eight thousand, six hundred forty".