7638268 has 24 divisors (see below), whose sum is σ = 14805504. Its totient is φ = 3418800.

The previous prime is 7638233. The next prime is 7638269. The reversal of 7638268 is 8628367.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7638268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638269) 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 7 ways as a sum of consecutive naturals, for example, 1653 + ... + 4243.

It is an arithmetic number, because the mean of its divisors is an integer number (616896).

Almost surely, 2^7638268 is an apocalyptic number.

It is an amenable number.

7638268 is a deficient number, since it is larger than the sum of its proper divisors (7167236).

7638268 is a wasteful number, since it uses less digits than its factorization.

7638268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2671 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 7638268 is about 2763.7416666541. The cubic root of 7638268 is about 196.9389557227.

Subtracting 7638268 from its reverse (8628367), we obtain a palindrome (990099).

The spelling of 7638268 in words is "seven million, six hundred thirty-eight thousand, two hundred sixty-eight".