7668738 has 72 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 1987920.

The previous prime is 7668709. The next prime is 7668757. The reversal of 7668738 is 8378667.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7668693 and 7668702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14995 + ... + 15497.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 2^7668738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7668738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

7668738 is an abundant number, since it is smaller than the sum of its proper divisors (13245246).

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

7668738 is a wasteful number, since it uses less digits than its factorization.

7668738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7668738 is about 2769.2486345578. The cubic root of 7668738 is about 197.2004796003.

The spelling of 7668738 in words is "seven million, six hundred sixty-eight thousand, seven hundred thirty-eight".