8646768 has 120 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 2557440.

The previous prime is 8646751. The next prime is 8646779. The reversal of 8646768 is 8676468.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57958 + ... + 58106.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^8646768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8646768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800).

8646768 is an abundant number, since it is smaller than the sum of its proper divisors (18434832).

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

8646768 is a wasteful number, since it uses less digits than its factorization.

8646768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8646768 is about 2940.5387261521. The cubic root of 8646768 is about 205.2506788635.

The spelling of 8646768 in words is "eight million, six hundred forty-six thousand, seven hundred sixty-eight".